Question

What is the solution to the equation below? Round your answer to two decimal places. 5x = 26

Answer 1

The answer is 5.2
$5x = 26 \\ x = \frac{26}{5} = 5.2$
you must have written the equation incorrectly

Answer 2

Answer:

Option B-  x=2.02

Step-by-step explanation:

Given : Equation $5^x=26$    

To find : What is the solution to the equation ?

Solution :

We have given an exponential equation $5^x=26$

Solution of the equation is :

$5^x=26$

Taking log both side,

$\log(5^x)=\log (26)$

Applying logarithmic property, $\log a^x=x\log a$

$x\log(5)=\log (26)$

$x=\frac{\log (26)}{\log(5)}$

$x=\frac{1.414}{0.698}$

$x=2.025$

Up to two decimal places → x=2.02

Therefore, Option B is correct.