Question Video: Converting an Equation from Logarithmic to Exponential Form Mathematics

Express log_𝑎(𝑏) = 𝑐 in its equivalent exponential form.


Video Transcript

Express log base 𝑎 of 𝑏 equals 𝑐 in its equivalent exponential form.

In order to answer this question, we need to recall the general rule that enables us to convert from logarithmic form to exponential form and vice versa. Whilst the letters or variables here can change, if log base 𝑥 of 𝑦 is equal to 𝑧, then 𝑦 is equal to 𝑥 to the power of 𝑧.

This means that our expression log base 𝑎 of 𝑏 is equal to 𝑐 is equivalent to 𝑏 is equal to 𝑎 to the power of 𝑐. This rule can be used whether our values of 𝑎, 𝑏, and 𝑐 are variables or constants.

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