Precalculus Examples

$\ln (\sin (g)) + \ln (l e) - \ln (d) - u \ln (x) - l e \ln (b)$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln (\sin (g) (l e)) - \ln (d) - u \ln (x) - l e \ln (b)$

Step 2

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

$\ln (\frac{\sin (g) (l e)}{d}) - u \ln (x) - l e \ln (b)$

Step 3

Reorder factors in $\ln (\frac{\sin (g) l e}{d}) - u \ln (x) - l e \ln (b)$ .

$\ln (\frac{l e \sin (g)}{d}) - u \ln (x) - l e \ln (b)$