What is expand log_{10}(sqrt(x^3y^{-10)}) ?

The solution to expand log_{10}(sqrt(x^3y^{-10)}) is 3/2 log_{10}(x)-5log_{10}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}(sqrt(x^3y^{-10)})

expand

lo g_{10} (x^{3} y^{- 10})

\frac{3}{2} lo g_{10} (x) - 5 lo g_{10} (y)

Solution steps

lo g_{10} (x^{3} y^{- 10})

x^{3} y^{- 10} = \frac{x x}{y ^{5}}

= lo g_{10} (\frac{x x}{y ^{5}})

Apply log rule:

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

lo g_{10} (\frac{x x}{y ^{5}}) = lo g_{10} (x x) - lo g_{10} (y^{5})

= lo g_{10} (x x) - lo g_{10} (y^{5})

Simplify

lo g_{10} (y^{5}) : 5 lo g_{10} (y)

lo g_{10} (x x) = \frac{3}{2} lo g_{10} (x)

= \frac{3}{2} lo g_{10} (x) - 5 lo g_{10} (y)

\frac{- 1 + 1 - 4 ( - π - 4 πn )}{2}

\frac{4}{( x + 2 ) ^{2}}

(v - d v)^{3}

(3 t - 1)^{3} d t

\frac{( 6 x + 2 ) ( x ^{3} + 2 x - 7 )}{x ^{6} - 2 x + 7}

What is expand log_{10}(sqrt(x^3y^{-10)}) ?
The solution to expand log_{10}(sqrt(x^3y^{-10)}) is 3/2 log_{10}(x)-5log_{10}(y)