Pre-Algebra Examples

$\log ({(1024)}^{256}) = \frac{4}{5}$

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 $b^{y} = x$ .

$10^{\frac{4}{5}} = 1024^{256}$

Step 2

The left side $6.30957344$ does not equal to the right side $I n f i n i t y$ , which means that the given statement is false.

False