en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(a^4b^7)

Solution

expand

ln (a^{4} b^{7})

Solution

4 ln (a) + 7 ln (b)

Solution steps

ln (a^{4} b^{7})

Apply log rule:

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

ln (a^{4} b^{7}) = ln (a^{4}) + ln (b^{7})

= ln (a^{4}) + ln (b^{7})

Apply log rule:

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

ln (a^{4}) = 4 ln (a)

= 4 ln (a) + ln (b^{7})

Apply log rule:

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

ln (b^{7}) = 7 ln (b)

= 4 ln (a) + 7 ln (b)

Popular Examples

simplify ln(19/39)simplify

ln (\frac{19}{39})

simplify ln(A)+ln(B)simplify

ln (A) + ln (B)

simplify 8log_{2}(a)+2log_{2}(b)simplify

8 lo g_{2} (a) + 2 lo g_{2} (b)

simplify ln((e^8-1)/(2e^4))simplify

ln (\frac{e ^{8} - 1}{2 e ^{4}})

simplify ln(x/(u^{2n)}e^{-(x^2)/(2nu^2)})simplify

ln (\frac{x}{u ^{2 n}} e^{- \frac{x ^{2}}{2 n u ^{2}}})

Frequently Asked Questions (FAQ)

What is expand ln(a^4b^7) ?
The solution to expand ln(a^4b^7) is 4ln(a)+7ln(b)