Precalculus Examples

$1000^{4 \log (x^{3})}$

Step 1

Simplify $4 \log (x^{3})$ by moving $4$ inside the logarithm.

$1000^{\log ({(x^{3})}^{4})}$

Step 2

Multiply the exponents in ${(x^{3})}^{4}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$1000^{\log (x^{3 \cdot 4})}$

Step 2.2

Multiply $3$ by $4$ .

$1000^{\log (x^{12})}$