What is log_{10}((x^9)/(y^4)) ?

The solution to log_{10}((x^9)/(y^4)) is 9log_{10}(x)-4log_{10}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}((x^9)/(y^4))

simplify

lo g_{10} (\frac{x ^{9}}{y ^{4}})

9 lo g_{10} (x) - 4 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x ^{9}}{y ^{4}})

Apply log rule:

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

lo g_{10} (\frac{x ^{9}}{y ^{4}}) = lo g_{10} (x^{9}) - lo g_{10} (y^{4})

= lo g_{10} (x^{9}) - lo g_{10} (y^{4})

lo g_{10} (x^{9}) = 9 lo g_{10} (x)

lo g_{10} (y^{4}) = 4 lo g_{10} (y)

= 9 lo g_{10} (x) - 4 lo g_{10} (y)

ln (\frac{5 x}{6})

lo g_{7} (\frac{p}{q})

lo g_{10} (a) + 2 lo g_{10} (b)

\frac{1}{2} lo g_{c} (x) + 3 lo g_{c} (y) - 2 lo g_{c} (x)

ln (\frac{x}{e ^{8 x}})

What is log_{10}((x^9)/(y^4)) ?
The solution to log_{10}((x^9)/(y^4)) is 9log_{10}(x)-4log_{10}(y)