Precalculus Examples

$\frac{1}{2} \cdot \log (b^{5})$

Step 1

Simplify $\frac{1}{2} \log (b^{5})$ by moving $\frac{1}{2}$ inside the logarithm.

$\log ({(b^{5})}^{\frac{1}{2}})$

Step 2

Multiply the exponents in ${(b^{5})}^{\frac{1}{2}}$ .

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Step 2.1

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

$\log (b^{5 (\frac{1}{2})})$

Step 2.2

Combine $5$ and $\frac{1}{2}$ .

$\log (b^{\frac{5}{2}})$