Trigonometry Examples

$5 \ln (5) - 3 \ln (y)$

Step 1

Simplify each term.

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Step 1.1

Simplify $5 \ln (5)$ by moving $5$ inside the logarithm.

$\ln (5^{5}) - 3 \ln (y)$

Step 1.2

Raise $5$ to the power of $5$ .

$\ln (3125) - 3 \ln (y)$

Step 1.3

Simplify $- 3 \ln (y)$ by moving $3$ inside the logarithm.

$\ln (3125) - \ln (y^{3})$

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\ln (\frac{3125}{y^{3}})$