What is log_{9}(x^2+10x+24)-log_{9}(x+4) ?

The solution to log_{9}(x^2+10x+24)-log_{9}(x+4) is log_{9}(x+6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{9}(x^2+10x+24)-log_{9}(x+4)

simplify

lo g_{9} (x^{2} + 10 x + 24) - lo g_{9} (x + 4)

lo g_{9} (x + 6)

Solution steps

lo g_{9} (x^{2} + 10 x + 24) - lo g_{9} (x + 4)

Apply log rule:

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

lo g_{9} (x^{2} + 10 x + 24) - lo g_{9} (x + 4) = lo g_{9} (\frac{x ^{2} + 10 x + 24}{x + 4})

= lo g_{9} (\frac{x ^{2} + 10 x + 24}{x + 4})

Simplify

\frac{x ^{2} + 10 x + 24}{x + 4} : x + 6

= lo g_{9} (x + 6)

lo g_{a} (\frac{x}{3})

3 \cdot lo g_{10} (2) + lo g_{10} (3)

ln (2 ln (2))

ln (\frac{x ^{7} x ^{2} + 5}{( x + 5 ) ^{7}})

lo g_{2} (lo g_{3} (a) n t i lo g_{3} (8))

What is log_{9}(x^2+10x+24)-log_{9}(x+4) ?
The solution to log_{9}(x^2+10x+24)-log_{9}(x+4) is log_{9}(x+6)