What is simplify-4log_{6}(2x) ?

The solution to simplify-4log_{6}(2x) is -4log_{6}(2)-4log_{6}(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-4log_{6}(2x)

simplify

- 4 lo g_{6} (2 x)

- 4 lo g_{6} (2) - 4 lo g_{6} (x)

Solution steps

- 4 lo g_{6} (2 x)

Apply log rule:

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

lo g_{6} (2 x) = lo g_{6} (2) + lo g_{6} (x)

= - 4 (lo g_{6} (2) + lo g_{6} (x))

Apply the distributive law:

a (b + c) = ab + a c

- 4 (lo g_{6} (2) + lo g_{6} (x)) = - 4 lo g_{6} (2) - 4 lo g_{6} (x)

= - 4 lo g_{6} (2) - 4 lo g_{6} (x)

lo g_{4} (2 x^{2} + x - 21) - lo g_{4} (x - 3)

lo g_{4} (x^{2} - 9) - 4 lo g_{4} (x + 3)

ln (x \cdot y)

- ln (\frac{1}{3})

lo g_{2} (16 x y^{3}) - lo g_{2} (4 x y)

What is simplify-4log_{6}(2x) ?
The solution to simplify-4log_{6}(2x) is -4log_{6}(2)-4log_{6}(x)