en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(9s)

Solution

simplify

lo g_{3} (9 s)

Solution

2 + lo g_{3} (s)

Solution steps

lo g_{3} (9 s)

Factor the number:

9 = 3^{2}

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= 2 + lo g_{3} (s)

Popular Examples

simplify log_{10}(587)-log_{10}(266)simplify

lo g_{10} (587) - lo g_{10} (266)

expand log_{4}(12\times 3)expand

lo g_{4} (12 \times 3)

simplify 5ln(x)+6ln(y)-3ln(z)simplify

5 ln (x) + 6 ln (y) - 3 ln (z)

simplify log_{3}((9sqrt(x^7))/(y^5))simplify

lo g_{3} (\frac{9 x ^{7}}{y ^{5}})

simplify log_{3}(9v)simplify

lo g_{3} (9 v)

Frequently Asked Questions (FAQ)

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