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What is the solution to the equation below? Round your answer to two decimal places.3x = 21A.x = 2.77B.x = 1.32C.x = 0.36D.x = 3.04

What is the solution to the equation below? Round your answer to two decimal places-example-1
User Justin Kruse
by
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1 Answer

21 votes
21 votes

Given: The equation below


3^x=21

To Determine: The value of x

Solution

Let us apply the exponent rule


\begin{gathered} 3^x=21 \\ xln3=ln21 \end{gathered}
\begin{gathered} xln3=ln21 \\ x=(ln21)/(ln3) \end{gathered}
\begin{gathered} x=(3.0445)/(1.0986) \\ x=2.7712 \\ x\approx2.77 \end{gathered}

Hence, the approximate value of x is 2.77, OPTION A

User Juan Jardim
by
2.9k points
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