What is ln(1/(5n+8))+ln(7n+5) ?

The solution to ln(1/(5n+8))+ln(7n+5) is ln((7n+5)/(5n+8))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1/(5n+8))+ln(7n+5)

simplify

ln (\frac{1}{5 n + 8}) + ln (7 n + 5)

ln (\frac{7 n + 5}{5 n + 8})

Solution steps

ln (\frac{1}{5 n + 8}) + ln (7 n + 5)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (\frac{1}{5 n + 8}) + ln (7 n + 5) = ln (\frac{1}{5 n + 8} (7 n + 5))

= ln (\frac{1}{5 n + 8} (7 n + 5))

Simplify

\frac{1}{5 n + 8} (7 n + 5) : \frac{7 n + 5}{5 n + 8}

= ln (\frac{7 n + 5}{5 n + 8})

- lo g_{10} (1.866 \cdot 1 0^{- 10})

ln (\frac{50}{21.026})

lo g_{2^{- \frac{1}{2}}} (\frac{8}{5 + 11})

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

lo g_{8} (x \cdot y \cdot z^{5})

What is ln(1/(5n+8))+ln(7n+5) ?
The solution to ln(1/(5n+8))+ln(7n+5) is ln((7n+5)/(5n+8))