Calculus Examples

$\frac{1}{2} \cdot \ln ({(x)}^{2})$

Step 1

Simplify $\frac{1}{2} \ln (x^{2})$ by moving $\frac{1}{2}$ inside the logarithm.

$\ln ({(x^{2})}^{\frac{1}{2}})$

Step 2

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

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Step 2.1

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

$\ln (x^{2 (\frac{1}{2})})$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Cancel the common factor.

$\ln (x^{2 (\frac{1}{2})})$

Step 2.2.2

Rewrite the expression.

$\ln (x^{1})$

Step 3

Simplify.

$\ln (x)$