Precalculus Examples

$0.25 (3 \ln (x + 2 - \ln (x) - \ln (x^{2} - 49)))$

Step 1

Simplify $3 \ln (x + 2 - \ln (x) - \ln (x^{2} - 49))$ by moving $3$ inside the logarithm.

$0.25 \ln ({(x + 2 - \ln (x) - \ln (x^{2} - 49))}^{3})$

Step 2

Simplify $0.25 \ln ({(x + 2 - \ln (x) - \ln (x^{2} - 49))}^{3})$ by moving $0.25$ inside the logarithm.

$\ln ({({(x + 2 - \ln (x) - \ln (x^{2} - 49))}^{3})}^{0.25})$

Step 3

Multiply the exponents in ${({(x + 2 - \ln (x) - \ln (x^{2} - 49))}^{3})}^{0.25}$ .

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Step 3.1

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

$\ln ({(x + 2 - \ln (x) - \ln (x^{2} - 49))}^{3 \cdot 0.25})$

Step 3.2

Multiply $3$ by $0.25$ .

$\ln ({(x + 2 - \ln (x) - \ln (x^{2} - 49))}^{0.75})$