en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(9v)

Solution

simplify

lo g_{3} (9 v)

Solution

2 + lo g_{3} (v)

Solution steps

lo g_{3} (9 v)

Factor the number:

9 = 3^{2}

= lo g_{3} (3^{2} v)

Apply log rule:

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

lo g_{3} (3^{2} v) = lo g_{3} (3^{2}) + lo g_{3} (v)

= lo g_{3} (3^{2}) + lo g_{3} (v)

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{3} (3^{2}) = 2

= 2 + lo g_{3} (v)

Popular Examples

simplify log_{a}(a^2sqrt(x))-log_{a}(x^2sqrt(a))simplify

lo g_{a} (a^{2} x) - lo g_{a} (x^{2} a)

simplify-3(ln(3)-ln(2))simplify

- 3 (ln (3) - ln (2))

expand log_{10}(5/(y^3\sqrt[5]{z^2)})expand

expand log_{7}((x^3)/(y^4))expand

lo g_{7} (\frac{x ^{3}}{y ^{4}})

simplify ln((ab^3)/(sqrt(cd^3)))simplify

ln (\frac{a b ^{3}}{c d ^{3}})

Frequently Asked Questions (FAQ)

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