Question

What is the solution to the equation below? Round your answer to two decimal places. 5x = 26
A. x = 2.19
B. x = 2.02
C. x = 0.50
D. x = 1.41

Answer 1

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.