Precalculus Examples

$4 \log_{3} (27^{x})$

Step 1

Simplify $4 \log_{3} (27^{x})$ by moving $4$ inside the logarithm.

$\log_{3} ({(27^{x})}^{4})$

Step 2

Multiply the exponents in ${(27^{x})}^{4}$ .

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Step 2.1

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

$\log_{3} (27^{x \cdot 4})$

Step 2.2

Move $4$ to the left of $x$ .

$\log_{3} (27^{4 x})$