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Solve log 6 x = 2 1) 362) 123) 64) 64

Solve log 6 x = 2 1) 362) 123) 64) 64-example-1

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Logarithmic Equations

Some equations require the application of the properties of logarithms to solve.

We need to recall the following basic property:


\begin{gathered} Given\colon \\ \log _ba=p \\ \text{Then:} \\ b^p=a \end{gathered}

We are given the equation:


\log _6x=2

Applying the property written above:


6^2=x

Or, equivalently:

x = 36

Answer: 1) 36

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