Answered

From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Get prompt and accurate answers to your questions from our community of knowledgeable experts.

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

What Is The Solution To The Equation Below Round Your Answer To Two Decimal Places9 8x 4568Ax 078Bx 128Cx 086Dx 162 class=

Sagot :

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

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.