Explanation:
The equation is given below as
[tex]9.8^x=45.68[/tex]
Step 1:
Divide both sides by 9
[tex]\begin{gathered} \frac{9.8^x}{9}=\frac{45.68}{9} \\ 8^x=5.076 \end{gathered}[/tex]
Step 2:
Take ln of both sides
[tex]\begin{gathered} 8^x=5.076 \\ ln(8^x)=ln(5.076) \\ xln(8)=ln(5.076) \\ x=\frac{ln(5.076)}{ln(8)} \\ x=0.78 \end{gathered}[/tex]
Hence,
The final answer is
[tex]\Rightarrow x=0.78[/tex]
OPTION A is the correct answer
