en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x/y)-ln(z)

Solution

simplify

ln (\frac{x}{y}) - ln (z)

Solution

ln (\frac{x}{yz})

Solution steps

ln (\frac{x}{y}) - ln (z)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (\frac{x}{y}) - ln (z) = ln (\frac{\frac{x}{y}}{z})

= ln (\frac{\frac{x}{y}}{z})

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= ln (\frac{x}{yz})

Popular Examples

simplify-(3ln(2/3))/(ln(9/4)-ln(2/3))simplify

- \frac{3 ln ( \frac{2}{3} )}{ln ( \frac{9}{4} ) - ln ( \frac{2}{3} )}

simplify (-ln(7/2)+2ln(10))/(ln(10))simplify

\frac{- ln ( \frac{7}{2} ) + 2 ln ( 10 )}{ln ( 10 )}

simplify ln(xe^{-x})simplify

ln (x e^{- x})

simplify (ln^2(x)+ln(x)-2)(log_{5}(x)-2)simplify

(ln^{2} (x) + ln (x) - 2) (lo g_{5} (x) - 2)

simplify 7log_{5}(x)+12log_{5}(y)simplify

7 lo g_{5} (x) + 12 lo g_{5} (y)

Frequently Asked Questions (FAQ)

What is ln(x/y)-ln(z) ?
The solution to ln(x/y)-ln(z) is ln(x/(yz))