What is 9log_{b}(x)+4log_{b}(z) ?

The solution to 9log_{b}(x)+4log_{b}(z) is log_{b}(x^9z^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 9log_{b}(x)+4log_{b}(z)

simplify

9 lo g_{b} (x) + 4 lo g_{b} (z)

lo g_{b} (x^{9} z^{4})

Solution steps

9 lo g_{b} (x) + 4 lo g_{b} (z)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= lo g_{b} (x^{9}) + 4 lo g_{b} (z)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

4 lo g_{b} (z) = lo g_{b} (z^{4})

= lo g_{b} (x^{9}) + lo g_{b} (z^{4})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{b} (x^{9}) + lo g_{b} (z^{4}) = lo g_{b} (x^{9} z^{4})

= lo g_{b} (x^{9} z^{4})

ln (\frac{1005 + 5}{1000})

ln (\frac{x}{1})

ln^{2} (x) - ln (x)

lo g_{11} (- 6 n)

ln (2 \cdot 2^{\frac{1}{5}})

What is 9log_{b}(x)+4log_{b}(z) ?
The solution to 9log_{b}(x)+4log_{b}(z) is log_{b}(x^9z^4)