OziahJ761454 OziahJ761454
  • 30-10-2022
  • Mathematics
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Solve the following exponential equation. Round your answer to three decimal places.6x=68x =

Solve the following exponential equation Round your answer to three decimal places6x68x class=

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JaleeaA84364 JaleeaA84364
  • 30-10-2022
[tex]\begin{gathered} 6^x=68 \\ Take\text{ logarithm of both sides } \\ \log 6^x=\log 68 \\ x\log 6=\log \text{ 68} \\ x\text{ = }\frac{\log68}{\log\text{ 6}} \\ x=\frac{1.8325}{0.7781} \\ x=2.35495 \\ \text{ x = 2.355 (3 decimsl places)} \end{gathered}[/tex]

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