What is 2log_{3}(x)-log_{3}(x+2) ?

The solution to 2log_{3}(x)-log_{3}(x+2) is log_{3}((x^2)/(x+2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

lo g_{3} (\frac{x ^{2}}{x + 2})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{3} (x^{2}) - lo g_{3} (x + 2) = lo g_{3} (\frac{x ^{2}}{x + 2})

= lo g_{3} (\frac{x ^{2}}{x + 2})

2 ln (x) - 4 ln (c)

3 ln (3 (1)) - 4

ln (\frac{( n + 2 ) ^{3} ( p + m ) ^{\frac{1}{5}}}{2 m ( m - n ) ^{\frac{1}{2}}})

- ln (\frac{36}{25})

ln (\frac{5}{3} + 1) - ln (- \frac{5}{3} + 1)

What is 2log_{3}(x)-log_{3}(x+2) ?
The solution to 2log_{3}(x)-log_{3}(x+2) is log_{3}((x^2)/(x+2))