What is log_{4}(x^7)-log_{4}(x^2)+4*log_{4}(x^3) ?

The solution to log_{4}(x^7)-log_{4}(x^2)+4*log_{4}(x^3) is log_{4}(x^{17})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{4}(x^7)-log_{4}(x^2)+4*log_{4}(x^3)

simplify

lo g_{4} (x^{7}) - lo g_{4} (x^{2}) + 4 \cdot lo g_{4} (x^{3})

lo g_{4} (x^{17})

Solution steps

lo g_{4} (x^{7}) - lo g_{4} (x^{2}) + 4 lo g_{4} (x^{3})

Apply log rule:

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

lo g_{4} (x^{7}) - lo g_{4} (x^{2}) = lo g_{4} (\frac{x ^{7}}{x ^{2}})

= lo g_{4} (\frac{x ^{7}}{x ^{2}}) + 4 lo g_{4} (x^{3})

Simplify

\frac{x ^{7}}{x ^{2}} : x^{5}

= lo g_{4} (x^{5}) + 4 lo g_{4} (x^{3})

Apply log rule:

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

4 lo g_{4} (x^{3}) = lo g_{4} ((x^{3})^{4})

= lo g_{4} (x^{5}) + lo g_{4} ((x^{3})^{4})

Apply log rule:

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

lo g_{4} (x^{5}) + lo g_{4} ((x^{3})^{4}) = lo g_{4} (x^{5} (x^{3})^{4})

= lo g_{4} (x^{5} (x^{3})^{4})

Simplify

x^{5} (x^{3})^{4} : x^{17}

= lo g_{4} (x^{17})

- 354

\frac{4 ( 6 - u )}{3} = 4 u + 12

(12 - 9 i) + (- 5 + 7 i)

w + 3 \leq 0 or w + 7 \geq 9

p - (- 2) = - 9

What is log_{4}(x^7)-log_{4}(x^2)+4*log_{4}(x^3) ?
The solution to log_{4}(x^7)-log_{4}(x^2)+4*log_{4}(x^3) is log_{4}(x^{17})