Question

what is the solution to the equation below? (round your answer to two decimal places.) 3•6^x= 15.57

Answer 1

Simplify the given expression as shown below

$\begin{gathered} 3*6^x=15.57 \\ \Rightarrow6^x=\frac{15.57}{3}=5.19 \\ \Rightarrow xln(6)=ln(5.19) \end{gathered}$$\Rightarrow x=\frac{ln(5.19)}{ln(6)}\approx0.92$

Thus, the answer is x=0.92, option D.