What is log_{3}((a^5b)/(c^2)) ?

The solution to log_{3}((a^5b)/(c^2)) is 5log_{3}(a)+log_{3}(b)-2log_{3}(c)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}((a^5b)/(c^2))

simplify

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

5 lo g_{3} (a) + lo g_{3} (b) - 2 lo g_{3} (c)

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{3} (\frac{a ^{5} b}{c ^{2}}) = lo g_{3} (a^{5} b) - lo g_{3} (c^{2})

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

lo g_{3} (a^{5} b) = 5 lo g_{3} (a) + lo g_{3} (b)

lo g_{3} (c^{2}) = 2 lo g_{3} (c)

= 5 lo g_{3} (a) + lo g_{3} (b) - 2 lo g_{3} (c)

\frac{70}{200}

ln (\frac{3}{2})

\frac{5}{4 ( x - 3 )} + \frac{11}{6 x ( x + 5 )}

42 \cdot 23

1 - \frac{3}{4}

What is log_{3}((a^5b)/(c^2)) ?
The solution to log_{3}((a^5b)/(c^2)) is 5log_{3}(a)+log_{3}(b)-2log_{3}(c)