Basic Math Examples

$\log_{4} (y) = 1.5$

Step 1

Rewrite $\log_{4} (y) = 1.5$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

$4^{1.5} = y$

Step 2

Solve for $y$ .

Tap for more steps...

Step 2.1

Rewrite the equation as $y = 4^{1.5}$ .

$y = 4^{1.5}$

Step 2.2

Raise $4$ to the power of $1.5$ .

$y = 8$