What is expand 5log_{4}((a^2b)/(n^3)) ?

The solution to expand 5log_{4}((a^2b)/(n^3)) is 5(log_{4}(a^2b)-3log_{4}(n))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 5log_{4}((a^2b)/(n^3))

expand

5 lo g_{4} (\frac{a ^{2} b}{n ^{3}})

5 (lo g_{4} (a^{2} b) - 3 lo g_{4} (n))

Solution steps

5 lo g_{4} (\frac{a ^{2} b}{n ^{3}})

Apply log rule:

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

lo g_{4} (\frac{a ^{2} b}{n ^{3}}) = lo g_{4} (a^{2} b) - lo g_{4} (n^{3})

= 5 (lo g_{4} (a^{2} b) - lo g_{4} (n^{3}))

Apply log rule:

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

lo g_{4} (n^{3}) = 3 lo g_{4} (n)

= 5 (lo g_{4} (a^{2} b) - 3 lo g_{4} (n))

lo g_{10} (a) + 8 lo g_{10} (b)

6 lo g_{10} (x) + 4 lo g_{10} (y)

ln (4 e^{2})

lo g_{b} (3) + lo g_{b} (5)

lo g_{10} (\frac{y}{z})

What is expand 5log_{4}((a^2b)/(n^3)) ?
The solution to expand 5log_{4}((a^2b)/(n^3)) is 5(log_{4}(a^2b)-3log_{4}(n))