en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{a}(25/27)

Solution

simplify

lo g_{a} (\frac{25}{27})

Solution

2 lo g_{a} (5) - 3 lo g_{a} (3)

Solution steps

lo g_{a} (\frac{25}{27})

Apply log rule:

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

lo g_{a} (\frac{25}{27}) = lo g_{a} (25) - lo g_{a} (27)

= lo g_{a} (25) - lo g_{a} (27)

lo g_{a} (25) = 2 lo g_{a} (5)

lo g_{a} (27) = 3 lo g_{a} (3)

= 2 lo g_{a} (5) - 3 lo g_{a} (3)

Popular Examples

simplify 2log_{10}(x)+log_{10}(2y)-log_{10}(y^3)simplify

2 lo g_{10} (x) + lo g_{10} (2 y) - lo g_{10} (y^{3})

simplify log_{10}((m^2+n)/(1000))simplify

lo g_{10} (\frac{m ^{2} + n}{1000})

simplify ln(10)-ln(6)simplify

ln (10) - ln (6)

simplify ln(10)-ln(8)simplify

ln (10) - ln (8)

simplify 2-1/2 log_{n}(4)-log_{n}(5)simplify

2 - \frac{1}{2} lo g_{n} (4) - lo g_{n} (5)

Frequently Asked Questions (FAQ)

What is log_{a}(25/27) ?
The solution to log_{a}(25/27) is 2log_{a}(5)-3log_{a}(3)