Finite Math Examples

$4^{3 \log_{4} (5)} = x$

Step 1

Rewrite the equation as $x = 4^{3 \log_{4} (5)}$ .

$x = 4^{3 \log_{4} (5)}$

Step 2

Simplify $4^{3 \log_{4} (5)}$ .

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Step 2.1

Simplify $3 \log_{4} (5)$ by moving $3$ inside the logarithm.

$x = 4^{\log_{4} (5^{3})}$

Step 2.2

Exponentiation and log are inverse functions.

$x = 5^{3}$

Step 2.3

Raise $5$ to the power of $3$ .

$x = 125$