Algebra Examples

$\log_{4} (17) = \frac{\log (4)}{\log (17)}$

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 $b^{y} = x$ .

$4^{\frac{\log (4)}{\log (17)}} = 17$

Step 2

The left side $1.9705552$ does not equal to the right side $17$ , which means that the given statement is false.

False