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

Option B- x=2.02

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=(\log (26))/(\log(5))`

`x=(1.414)/(0.698)`

`x=2.025`

Up to two decimal places → x=2.02

Therefore, Option B is correct.