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Logarithmic to Exponential Form

Logarithmic functions are inverses of exponential functions . So, a log is an exponent !

$y = \log_{b} x$ if and only if $b^{y} = x$ for all $x > 0$ and $0 < b \neq 1$ .

Example 1:

Write $\log_{5} 125 = 3$ in exponential form.

5^{3} = 125

Example 2:

Write $\log_{z} w = t$ in exponential form.

$z^{t} = w$

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