Question

What is the solution to the equation below? Round your answer to two decimal places. 8*9^x=35.68

Answer 1

`x=0.68`

Explanation:

we have

`8(9^x)=35.68`

solve for x

Divide both sides by 8

`8(9^x)/8=35.68/8`

`(9^x)=4.46`

Apply log both sides

`log(9^x)=log(4.46)`

Applying logarithmic property

`\log a^x=x\log a`

`(x)log(9)=log(4.46)`

`x=log(4.46)/log(9)`

`x=0.68`