What is log_{a}(((x+y))/((x^2-y^2))) ?

The solution to log_{a}(((x+y))/((x^2-y^2))) is -log_{a}(x-y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{a}(((x+y))/((x^2-y^2)))

simplify

lo g_{a} (\frac{( x + y )}{( x ^{2} - y ^{2} )})

- lo g_{a} (x - y)

Solution steps

lo g_{a} (\frac{x + y}{x ^{2} - y ^{2}})

Simplify

\frac{x + y}{x ^{2} - y ^{2}} : \frac{1}{x - y}

= lo g_{a} (\frac{1}{x - y})

Simplify

\frac{1}{x - y} : (x - y)^{- 1}

= lo g_{a} ((x - y)^{- 1})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{a} ((x - y)^{- 1}) = - 1 \cdot lo g_{a} (x - y)

= - 1 \cdot lo g_{a} (x - y)

Apply rule:

1 \cdot a = a

= - lo g_{a} (x - y)

lo g_{3} (\frac{2 a}{c d})

ln (\frac{e ^{9}}{9})

ln (x) - 3 [ln (x + 6) + ln (x - 6)]

(lo g_{b} (x) - lo g_{b} (y)) + 3 lo g_{b} (v)

What is log_{a}(((x+y))/((x^2-y^2))) ?
The solution to log_{a}(((x+y))/((x^2-y^2))) is -log_{a}(x-y)