Algebra Examples

$3 (4 \log (t^{2}))$

Step 1

Simplify $4 \log (t^{2})$ by moving $4$ inside the logarithm.

$3 \log ({(t^{2})}^{4})$

Step 2

Multiply the exponents in ${(t^{2})}^{4}$ .

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Step 2.1

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

$3 \log (t^{2 \cdot 4})$

Step 2.2

Multiply $2$ by $4$ .

$3 \log (t^{8})$

Step 3

Simplify $3 \log (t^{8})$ by moving $3$ inside the logarithm.

$\log ({(t^{8})}^{3})$

Step 4

Multiply the exponents in ${(t^{8})}^{3}$ .

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Step 4.1

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

$\log (t^{8 \cdot 3})$

Step 4.2

Multiply $8$ by $3$ .

$\log (t^{24})$