Determine if True log base 2 of 100 = log base 6 of 20

$\log_{2} (100) = \log_{6} (20)$

Step 1

Rewrite the equation in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $y = l o g (b) (x)$ is equivalent to $b^{y} = x$ .

$2^{\log_{6} (20)} = 100$

Step 2

The left side $3.18644998$ does not equal to the right side $100$ , which means that the given statement is false.

False

Determine if True log base 2 of 100 = log base 6 of 20

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