en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(6)-log_{b}(3)

Solution

simplify

lo g_{b} (6) - lo g_{b} (3)

Solution

lo g_{b} (2)

Solution steps

lo g_{b} (6) - lo g_{b} (3)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{b} (6) - lo g_{b} (3) = lo g_{b} (\frac{6}{3})

= lo g_{b} (\frac{6}{3})

Divide the numbers:

\frac{6}{3} = 2

= lo g_{b} (2)

Popular Examples

simplify log_{7}(3x)-log_{7}(9x)+log_{7}(6y)simplify

lo g_{7} (3 x) - lo g_{7} (9 x) + lo g_{7} (6 y)

simplify 3[log_{10}(a)+log_{10}(a+1)]-log_{10}(b)simplify

3 [lo g_{10} (a) + lo g_{10} (a + 1)] - lo g_{10} (b)

simplify 1/2 ln((1+(sqrt(2))/2)/(1-(sqrt(2))/2))simplify

\frac{1}{2} ln (\frac{1 + \frac{2}{2}}{1 - \frac{2}{2}})

simplify-log_{10}(1.33\times 10^{-3})simplify

- lo g_{10} (1.33 \times 1 0^{- 3})

simplify log_{2}((xy)/(zt))simplify

lo g_{2} (\frac{x y}{z t})

Frequently Asked Questions (FAQ)

What is log_{b}(6)-log_{b}(3) ?
The solution to log_{b}(6)-log_{b}(3) is log_{b}(2)