en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(((x+2)^7)/(x^5))

Solution

simplify

ln (\frac{( x + 2 ) ^{7}}{x ^{5}})

Solution

7 ln (x + 2) - 5 ln (x)

Solution steps

ln (\frac{( x + 2 ) ^{7}}{x ^{5}})

Apply log rule:

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

ln (\frac{( x + 2 ) ^{7}}{x ^{5}}) = ln ((x + 2)^{7}) - ln (x^{5})

= ln ((x + 2)^{7}) - ln (x^{5})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln ((x + 2)^{7}) = 7 ln (x + 2)

= 7 ln (x + 2) - ln (x^{5})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{5}) = 5 ln (x)

= 7 ln (x + 2) - 5 ln (x)

Popular Examples

simplify ln(4e^{-6/100 t})-ln(0.03t)simplify

ln (4 e^{- \frac{6}{100} t}) - ln (0.03 t)

simplify-log_{10}(1.8*10)simplify

- lo g_{10} (1.8 \cdot 10)

simplify 0.026ln(5*10^{12-4})simplify

0.026 ln (5 \cdot 1 0^{12 - 4})

simplify (10ln(8)-10ln(7))/(8-7)simplify

\frac{10 ln ( 8 ) - 10 ln ( 7 )}{8 - 7}

simplify 4ln(3x+1)+ln(x-4)simplify

4 ln (3 x + 1) + ln (x - 4)

Frequently Asked Questions (FAQ)

What is ln(((x+2)^7)/(x^5)) ?
The solution to ln(((x+2)^7)/(x^5)) is 7ln(x+2)-5ln(x)