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Table of Contents
This new minor version brings with it a number of new features and a few incompatibilities that should be tested for before switching PHP versions in production environments.
See also the migration guides for PHP versions 5.0.x, 5.1.x, 5.2.x, 5.3.x, 5.4.x, 5.5.x, 5.6.x, 7.0.x, 7.1.x and 7.2.x.
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Como parte del aumento de la seguridad, se recomienda mantener actualizada su versión de PHP. Aquí hemos proporcionado los pasos para actualizar la versión actual de PHP 7.2 a 7.3 en las versiones de Ubuntu 14/16/18 /19/20 sin eliminar la anterior. Para que podamos volver a las versiones anteriores si hay algo incompatible con la nueva después de cambiar.
1. Inicie sesión en el servidor a través de SSH como root.
* Sino sabes no importa usa el comando sudo (como yo)
2. Verifique su versión actual de PHP.
$ php -v
PHP 7.2.36
3. Para instalar PHP 7.3, primero debemos agregar el repositorio:
(Mucho ojo aquí,(PRECAUCIÓN) ..Si te encuentras en la versión Ubuntu 19 / 20 no es necesario agregar repositorios , los trae por default.Puedes consultar con este comando los repositorios:
$sudo apt-cache policy | grep http | awk '{print $2 $3}' | sort -u
Sino se encuentran app/php o app/apache2 usa este comando:
$sudo add-apt-repository ppa: ondrej / php
4. Luego ejecute una actualización:
$sudo apt-get update
5. Después de completar la actualización, necesitamos instalar PHP 7.3.
$ sudo apt install php7.3
6. Luego instale los paquetes PHP requeridos según su instalación actual:
$sudo apt install php7.3-common php7.3-cli php7.3-bz2 php7.3-curl php7.3-gd php7.3-intl php7.3-json php7.3-readline php7.3-xml php7. 3-zip php7.3-fpm php7.3-bcmath php7.3-mbstring
Se suman nuevos comandos para la version 7.3 de Php.En el orden que se escriben para no dañar los modulos.
Detener el Servidor Apache
$sudo systemctl stop apache2
Desactivar el Modulo Php 7.2
$sudo a2dismod php7.2
Activas Modulo Proxy fcgi
$sudo a2enmod proxy_fcgi setenvif
Activar Modulo fpm
$sudo a2enmod php7.3-fpm
Activar Modulo de Php 7.3
$sudo a2enmod php7.3
7. Luego reinicie Apache:
$sudo systemctl start apache2
8. Por último comprobamos el Status del Sercidor Apache2, apagar y prender un par de veces el servidor.(Todo correcto):
$sudo systenctl status apache2
9. La nueva versión de PHP debería estar activa ahora. Puede verificarlo desde la línea de comando:
$php -v
PHP 7.3.28- Appendices
Solving Exponential and Logarithmic Equations
Learning Objective(s)
·Solve exponential equations.
·Solve logarithmic equations.
As you know, algebra often requires you to solve equations to find unknown values. This is also true for exponential and logarithmic equations. There are some strategies that you can use, along with some properties you've learned, that you can use to solve those equations.
Solving Exponential Equations
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You may be able to look at an equation like 4x= 16 and solve it by asking yourself, '4 to what power is 16? 42 is 16, so x = 2.' Equations like 4x = 17 are a bit more difficult. You know x must be a little more than 2, because 17 is just a little more than 16. One way to find x with more precision, though, is by using logarithms.
When you have solved other algebraic equations, you often relied on the idea that you can change both sides of the equation in the same way and still get a true equation. This is true with logarithms, too: If x = y, then logbx = logby, no matter what b is.
Let's look at this with an equation whose solution you already know: 4x = 16. You can use either the common log or the natural log. In the following example, you will use the common log.
Example | |
Problem | Solve 4x = 16. |
4x = 16 log 4x = log 16 | Take the common logarithm of both sides. (Remember, when no base is written, that means the base is 10.) What can you do with that new equation? |
log 4x = log 16 x log 4 = log 16 | Use the power property of logarithms to simplify the logarithm on the left side of the equation. |
x log 4 = log 16 | Remember that log 4 is a number. You can divide both sides of the equation by log 4 to get x by itself. |
Answer | Use a calculator to evaluate the logarithms and the quotient. |
Just as you knew, x = 2. Now let's try it with our more difficult example, 4x = 17. The procedure is exactly the same.
Example | |
Problem | Solve 4x = 17. |
4x = 17 log 4x = log 17 | Take the common logarithm of both sides. |
log 4x = log 17 x log 4 = log 17 | Use the power property of logarithms to simplify the logarithm on the left. |
x log 4 = log 17 | Divide both sides by log 4 to get x by itself. |
Answer | Use a calculator to evaluate the logarithms and the quotient. |
You could have used either the common log or the natural log with the example above. You use one of these two bases, as you can then use your calculator to find the values.
Example | ||
Problem | Solve e2x = 54. | |
e2x = 54 Kodak preps 8 0 2 download free. ln e2x = ln 54 | Since the base is e, use the natural logarithm. (If the base were 10, using common logarithms would be better.) | |
ln e2x = ln 54 2x = ln 54 | Remember that logarithms and exponential functions are inverses. When you have logbbm, the logarithm undoes the exponent, and the result is just m. So ln e2x = logee2x = 2x. | |
x = | Divide both sides by 2 to get x by itself. | |
Answer | x = 1.99449.. | Use a calculator to evaluate the logarithm and quotient on the right and you're done! |
Another kind of exponential equation has exponential expressions on both sides. When the bases are the same, or the exponents are the same, you can just compare the parts that are different. Look at these examples.
Example | ||
Problem | Solve 32x + 5 = 33x – 2. | |
32x + 5 = 33x – 2 | Here are two exponential expressions with the same base. If the two expressions are equal, then their exponents must be equal. (Think about that—if you have 3a and 3b, and a ≠ b, then 3a can't have the same value as 3b.) | |
2x + 5 = 3x – 2 | So, write a new equation that sets the exponents equal to each other. | |
5 = x – 2 7 = x | Solve the linear equation as you normally would. | |
Check | 32(7) + 5 = 33(7) – 2 319 = 319 | Test the solution in the original equation. No need to find 319. When both sides say the same thing, you know it's correct! |
Answer | x = 7 |
Example | ||
Problem | Solve (x + 4)8 = 78. | |
(x + 4)8 = 78 | Again, you have two exponential expressions that are equal to each other. In this case, both sides have the same exponent, and this means the bases must be equal. | |
x + 4 = 7 | Write a new equation that sets the bases equal to each other. | |
Coda 2 plugins. x = 3 | Solve the linear equation as you normally would. | |
Check | (3 + 4)8 = 78 78 = 78 | Test the solution in the original equation. No need to find 78. When both sides say the same thing, you know it's correct! |
Answer | x = 3 |
Solve 103x – 2 = 13. A) x = 5 B) x = 1.03798… C) x = 1.52164… D) x = 3.11394… |
Solving Logarithmic Equations
There are several strategies you can use to solve logarithmic equations. The first is one you have used before: Rewrite the logarithmic equation as an exponential equation!
Example | ||
Problem | Solve ln x = 4.657. Give x to the thousandths place. | |
ln x = 4.657 logex = 4.657 e4.657 = x | Remember that natural logarithms have a base of e. Rewrite this logarithm as an exponential equation. | |
Answer | 105.3196… = x x≈ 105.320 | Use a calculator to evaluate e4.657, and round to the nearest thousandth. |
This works regardless of the base.
Example | ||
Problem | Solve log7 x = 3.843. Give x to the thousandths place. | |
log7x = 3.843 73.843 = x | Rewrite this logarithm as an exponential equation. | |
Answer | 1768.9345…= x x≈ 1768.935 | Use a calculator to evaluate 73.843 and round to the nearest thousandth. |
Logarithmic equations may also involve inputs where the variable has a coefficient other than 1, or where the variable itself is squared. In these cases, you need to complete a few more steps in solving for the variable.
Example | ||
Problem | Solve log53x2 = 1.96. Give x to the hundredths place. | |
51.96 = 3x2 | Rewrite this logarithmic equation as an exponential equation. | |
23.44127… = 3x2 | Evaluate 51.96. | |
7.81375… = x2 x = ±2.7953… x≈ ±2.80 | Solve as you normally would. In this case, divide both sides by 3, then use the square root property to find the possible values for x. Don't forget that when using the square root property, both positive and negative roots must be considered. Round to the nearest hundredth. | |
Check | log5 3x2 = 1.96 log5 3(-2.80)2 = 1.96 log5 3(7.84) = 1.96 log5 23.52 = 1.96 | Check your answer by substituting the value of x into the original equation. Because (-2.80)2 and (+2.80)2 are both positive we don't need to check +2.80 separately. |
Apply the change of base formula to switch from base 5 to base 10. The check shows that with rounding accounted for, a true statement results, so you know that the answer is correct. | ||
Answer | x≈ ±2.80 |
The equations may also include more than one logarithm. You can use the properties of logarithms to combine these logarithms into one logarithm. Note:You'll find it helpful to record which properties you use at each step, both to help you be sure you're using them properly and as a way to help you find errors.
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Example | ||
Problem | Solve . | |
First notice that all of the logarithms have the same base. (These are common logarithms, so the bases are all 10.) When using the properties, it is absolutely necessary that the bases are the same. | ||
Use the power property to rewrite 2log 3 as log 32 and to rewrite as . | ||
log 9 + log 4 – log 3 = log x | Evaluate the exponents. | |
log (9 • 4) – log 3 = log x log 36 – log 3 = log x | Use the product property, , to combine log 9 + log 4. | |
log = log x log 12 = log x | Use the quotient property, , to combine log 36 – log 3. | |
Answer | Submerge 3 3 4 5. x = 12 | Since the logarithm of 12 and the logarithm of x are equal, x must equal 12. |
Solve log x + log 3 = log 24. A) 0.460… B) 2.892… C) 8 D) 21 |
Summary
There are several strategies that can be used to solve equations involving exponents and logarithms. Taking logarithms of both sides is helpful with exponential equations. Rewriting a logarithmic equation as an exponential equation is a useful strategy. Using properties of logarithms is helpful to combine many logarithms into a single one.
