Algebra Examples

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

Step 1

Rewrite the equation as $3 \log (y^{2}) = x$ .

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

Step 2

Simplify $3 \log (y^{2})$ .

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Step 2.1

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

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

Step 2.2

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

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Step 2.2.1

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

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

Step 2.2.2

Multiply $2$ by $3$ .

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