What is log_{x}(((3p^2m)/y)^2) ?

The solution to log_{x}(((3p^2m)/y)^2) is 2log_{x}(3)+4log_{x}(p)+2log_{x}(m)-2log_{x}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{x}(((3p^2m)/y)^2)

simplify

lo g_{x} ((\frac{3 p ^{2} m}{y})^{2})

2 lo g_{x} (3) + 4 lo g_{x} (p) + 2 lo g_{x} (m) - 2 lo g_{x} (y)

Solution steps

lo g_{x} ((\frac{3 p ^{2} m}{y})^{2})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{x} ((\frac{3 p ^{2} m}{y})^{2}) = 2 lo g_{x} (\frac{3 p ^{2} m}{y})

= 2 lo g_{x} (\frac{3 p ^{2} m}{y})

Simplify

lo g_{x} (\frac{3 p ^{2} m}{y}) : lo g_{x} (3) + 2 lo g_{x} (p) + lo g_{x} (m) - lo g_{x} (y)

= 2 (lo g_{x} (3) + 2 lo g_{x} (p) + lo g_{x} (m) - lo g_{x} (y))

Expand

2 (lo g_{x} (3) + 2 lo g_{x} (p) + lo g_{x} (m) - lo g_{x} (y)) : 2 lo g_{x} (3) + 4 lo g_{x} (p) + 2 lo g_{x} (m) - 2 lo g_{x} (y)

= 2 lo g_{x} (3) + 4 lo g_{x} (p) + 2 lo g_{x} (m) - 2 lo g_{x} (y)

\frac{a + b}{c} + \frac{c}{a + b}

(- 3 x^{- 2}) (4 x^{4})

18 x^{4} + 12 x^{3} - 6 x

12 x + 4 [6 - (3 x + 2)]

224 \cdot \frac{5}{4}

What is log_{x}(((3p^2m)/y)^2) ?
The solution to log_{x}(((3p^2m)/y)^2) is 2log_{x}(3)+4log_{x}(p)+2log_{x}(m)-2log_{x}(y)