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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 36x 1557 class=

Sagot :

Simplify the given expression as shown below

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

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

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