What is 2[ln(x)-ln(x+7)-ln(x-7)] ?

The solution to 2[ln(x)-ln(x+7)-ln(x-7)] is 2ln(x/((x+7)(x-7)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2[ln(x)-ln(x+7)-ln(x-7)]

simplify

2 [ln (x) - ln (x + 7) - ln (x - 7)]

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

Solution steps

2 [ln (x) - ln (x + 7) - ln (x - 7)]

Apply log rule:

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

ln (x) - ln (x + 7) = ln (\frac{x}{x + 7})

= 2 [ln (\frac{x}{x + 7}) - ln (x - 7)]

Apply log rule:

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

ln (\frac{x}{x + 7}) - ln (x - 7) = ln (\frac{\frac{x}{x + 7}}{x - 7})

= 2 [ln (\frac{\frac{x}{x + 7}}{x - 7})]

Apply the fraction rule:

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

= 2 [ln (\frac{x}{( x + 7 ) ( x - 7 )})]

Remove parentheses:

(a) = a

= 2 ln (\frac{x}{( x + 7 ) ( x - 7 )})

2 ln (2) - ln (\frac{1}{2})

5 ln (x) + 2 ln (y) - ln (z)

ln (4 \cdot 1 0^{- 6})

lo g_{10} (2 ln (- 1))

ln (x (y + 2)^{2})

What is 2[ln(x)-ln(x+7)-ln(x-7)] ?
The solution to 2[ln(x)-ln(x+7)-ln(x-7)] is 2ln(x/((x+7)(x-7)))