Example 1: Converting from Logarithmic Form to Exponential Form Write the following logarithmic equations in exponential form. \displaystyle {\mathrm {log}}_ {6}\left (\sqrt

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y = ex y = e x Reduce by cancelling the common factors. y = ex y = e x Convert the exponential equation to a logarithmic equation using the logarithm base (e) ( e) of the left side (y) ( y)

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Learn how to solve any exponential equation of the form a⋅b^ (cx)=d. For example, solve 6⋅10^ (2x)=48. The key to solving exponential equations lies in logarithms! Let's take a closer look by working through some examples.