Video: Converting an Equation from Logarithmic to Exponential Form

Express 𝑧 = log₂ (𝑥) in its equivalent exponential form.

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Video Transcript

Express 𝑧 is equal to log base two of 𝑥 in its equivalent exponential form.

In order to answer this question, we recall that if log base 𝑎 of 𝑥 is equal to 𝑏, then 𝑥 is equal to 𝑎 to the power of 𝑏. In this question, the base 𝑎 is equal to two. 𝑏 has been replaced by the variable 𝑧. As this value of 𝑏 becomes the exponent, 𝑥 is equal to two to the power of 𝑧. Any expression in logarithmic form can be converted into its equivalent exponential form using this rule.

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