Precalculus Examples

$(3 \log ({(x)}^{2})) + 1$

Step 1

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

$\log ({(x^{2})}^{3}) + 1$

Step 2

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

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Step 2.1

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

$\log (x^{2 \cdot 3}) + 1$

Step 2.2

Multiply $2$ by $3$ .

$\log (x^{6}) + 1$