en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(9/8)

Solution

simplify

lo g_{b} (\frac{9}{8})

Solution

2 lo g_{b} (3) - 3 lo g_{b} (2)

Solution steps

lo g_{b} (\frac{9}{8})

Apply log rule:

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

lo g_{b} (\frac{9}{8}) = lo g_{b} (9) - lo g_{b} (8)

= lo g_{b} (9) - lo g_{b} (8)

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

lo g_{b} (8) = 3 lo g_{b} (2)

= 2 lo g_{b} (3) - 3 lo g_{b} (2)

Popular Examples

simplify ln(x^2-7)-ln(x+6)-3 simplify

ln (x^{2} - 7) - ln (x + 6) - 3

simplify log_{5}(x-2)+log_{5}(3x+7)simplify

lo g_{5} (x - 2) + lo g_{5} (3 x + 7)

simplify 1/2 ln(x+3)-ln(x)simplify

\frac{1}{2} ln (x + 3) - ln (x)

simplify ln(9e^x)simplify

ln (9 e^{x})

simplify 2(log_{6}(x)+2log_{6}(y)-3log_{6}(z))simplify

2 (lo g_{6} (x) + 2 lo g_{6} (y) - 3 lo g_{6} (z))

Frequently Asked Questions (FAQ)

What is log_{b}(9/8) ?
The solution to log_{b}(9/8) is 2log_{b}(3)-3log_{b}(2)