Algebra Examples

$x = 3 \log (y^{2})$

Step 1

Simplify $3 \log (y^{2})$ by moving $3$ inside the logarithm.

$x = \log ({(y^{2})}^{3})$

Step 2

Multiply the exponents in ${(y^{2})}^{3}$ .

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Step 2.1

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

$x = \log (y^{2 \cdot 3})$

Step 2.2

Multiply $2$ by $3$ .

$x = \log (y^{6})$