QuestionConvert $2^{x}=3$ to logarithmic form.

Studdy Solution

STEP 1

Assumptions1. We are given the exponential equation $^{x}=3$ . We need to convert this equation to its equivalent logarithmic form

STEP 2

To convert an exponential equation to a logarithmic equation, we use the definition of a logarithm. The definition of a logarithm states that if $b^{y} = x$ , then $\log_{b}x = y$ .

STEP 3

Applying this definition to our given equation $2^{x}=3$ , we can rewrite it in logarithmic form as follows $\log_{2}3 = x$ This is the logarithmic form of the given exponential equation.

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