Question

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

Answer 1

Answer:

$x=0.68$

Step-by-step 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

$\log a^x=x\log a$

$(x)log(9)=log(4.46)$

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

$x=0.68$