What is log_{8}(5)+1/4 log_{8}(x) ?

The solution to log_{8}(5)+1/4 log_{8}(x) is log_{8}(5x^{1/4})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{8}(5)+1/4 log_{8}(x)

simplify

lo g_{8} (5) + \frac{1}{4} lo g_{8} (x)

lo g_{8} (5 x^{\frac{1}{4}})

Solution steps

lo g_{8} (5) + \frac{1}{4} lo g_{8} (x)

Apply log rule:

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

\frac{1}{4} lo g_{8} (x) = lo g_{8} (x^{\frac{1}{4}})

= lo g_{8} (5) + lo g_{8} (x^{\frac{1}{4}})

Apply log rule:

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

lo g_{8} (5) + lo g_{8} (x^{\frac{1}{4}}) = lo g_{8} (5 x^{\frac{1}{4}})

= lo g_{8} (5 x^{\frac{1}{4}})

3 lo g_{10} (1 - x) - 3 lo g_{10} (y)

ln (\frac{x ^{2} - 4}{x ^{2} - 7 x + 12})

2 ln (4) + 6 ln (x) - 3 ln (2)

ln (a^{4} b^{7})

ln (\frac{19}{39})

What is log_{8}(5)+1/4 log_{8}(x) ?
The solution to log_{8}(5)+1/4 log_{8}(x) is log_{8}(5x^{1/4})