Question

What is the solution to the equation below? Round your answer to two decimal places.9 8x = 45.68A.x = 0.78B.x = 1.28C.x = 0.86D.x = 1.62

Answer 1

Step-by-step explanation:

The equation is given below as

`9.8^x=45.68`

Step 1:

Divide both sides by 9

`\begin{gathered} (9.8^x)/(9)=(45.68)/(9) \\ 8^x=5.076 \end{gathered}`

Step 2:

Take ln of both sides

`\begin{gathered} 8^x=5.076 \\ ln(8^x)=ln(5.076) \\ xln(8)=ln(5.076) \\ x=(ln(5.076))/(ln(8)) \\ x=0.78 \end{gathered}`

Hence,

The final answer is

`\Rightarrow x=0.78`

OPTION A is the correct answer