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

What is the solution to the equation below? (round your answer to two decimal places-example-1
User Kevin Walter
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1 Answer

3 votes

Simplify the given expression as shown below


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

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

User Amar Premsaran Patel
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