Precalculus Examples

$\frac{\ln (1.6)}{2}$

Rewrite $\frac{\ln (1.6)}{2}$ as $\frac{1}{2} \ln (1.6)$ .

$\frac{1}{2} \ln (1.6)$

Simplify $\frac{1}{2} \ln (1.6)$ by moving $\frac{1}{2}$ inside the logarithm.

$\ln ({1.6}^{\frac{1}{2}})$

Simplify the expression.

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Rewrite $1.6$ as ${1.26491106}^{2}$ .

$\ln ({({1.26491106}^{2})}^{\frac{1}{2}})$

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

$\ln ({1.26491106}^{2 (\frac{1}{2})})$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\ln ({1.26491106}^{2 (\frac{1}{2})})$

Rewrite the expression.

$\ln ({1.26491106}^{1})$

Evaluate the exponent.

$\ln (1.26491106)$

The result can be shown in multiple forms.

Exact Form:

$\ln (1.26491106)$

Decimal Form:

$0.23500181 \dots$