en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-ln(1/((5x+7)))

Solution

simplify

- ln (\frac{1}{( 5 x + 7 )})

Solution

ln (5 x + 7)

Solution steps

- ln (\frac{1}{( 5 x + 7 )})

Apply log rule:

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

ln (\frac{1}{( 5 x + 7 )}) = ln (1) - ln ((5 x + 7))

= - (- ln ((5 x + 7)) + ln (1))

Remove parentheses:

(a) = a

= - (ln (1) - ln (5 x + 7))

Remove parentheses:

(a) = a

= - (ln (1) - ln (5 x + 7))

Apply log rule:

lo g_{a} (1) = 0

= - (- ln (5 x + 7) + 0)

Refine

= ln (5 x + 7)

Popular Examples

simplify-3ln(x)+1/2 ln(y)+ln(z)simplify

- 3 ln (x) + \frac{1}{2} ln (y) + ln (z)

simplify 4log_{2}(c)-8log_{2}(n)simplify

4 lo g_{2} (c) - 8 lo g_{2} (n)

simplify ln((-x^6)/(y^6))simplify

ln (\frac{- x ^{6}}{y ^{6}})

simplify-(5/6)*log_{2}(5/6)-(1/6)*log_{2}(1/6)simplify

- (\frac{5}{6}) \cdot lo g_{2} (\frac{5}{6}) - (\frac{1}{6}) \cdot lo g_{2} (\frac{1}{6})

simplify 2ln(8)+3ln(z)simplify

2 ln (8) + 3 ln (z)

Frequently Asked Questions (FAQ)

What is simplify-ln(1/((5x+7))) ?
The solution to simplify-ln(1/((5x+7))) is ln(5x+7)