en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{4}(9x)

Solution

simplify

lo g_{4} (9 x)

Solution

lo g_{2} (3) + lo g_{4} (x)

Solution steps

lo g_{4} (9 x)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{4} (9 x) = lo g_{4} (9) + lo g_{4} (x)

= lo g_{4} (9) + lo g_{4} (x)

lo g_{4} (9) = lo g_{2} (3)

= lo g_{2} (3) + lo g_{4} (x)

Popular Examples

simplify log_{10}((xy^5)/(sqrt(z^5)))simplify

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

simplify log_{10}(x^2sqrt((x+3)/(x-1)))simplify

lo g_{10} (x^{2} \frac{x + 3}{x - 1})

simplify 1/2 log_{3}(9x)+3/2 log_{3}(4x^3)simplify

\frac{1}{2} lo g_{3} (9 x) + \frac{3}{2} lo g_{3} (4 x^{3})

simplify log_{12}((12)/y)simplify

lo g_{12} (\frac{12}{y})

simplify 3log_{10}(6)-4log_{10}(2)-log_{10}(3)simplify

3 lo g_{10} (6) - 4 lo g_{10} (2) - lo g_{10} (3)

Frequently Asked Questions (FAQ)

What is log_{4}(9x) ?
The solution to log_{4}(9x) is log_{2}(3)+log_{4}(x)