What is log_{10}(6x^2+x-15)-log_{10}(2x-3) ?

The solution to log_{10}(6x^2+x-15)-log_{10}(2x-3) is log_{10}(3x+5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(6x^2+x-15)-log_{10}(2x-3)

simplify

lo g_{10} (6 x^{2} + x - 15) - lo g_{10} (2 x - 3)

lo g_{10} (3 x + 5)

Solution steps

lo g_{10} (6 x^{2} + x - 15) - lo g_{10} (2 x - 3)

Apply log rule:

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

lo g_{10} (6 x^{2} + x - 15) - lo g_{10} (2 x - 3) = lo g_{10} (\frac{6 x ^{2} + x - 15}{2 x - 3})

= lo g_{10} (\frac{6 x ^{2} + x - 15}{2 x - 3})

Simplify

\frac{6 x ^{2} + x - 15}{2 x - 3} : 3 x + 5

= lo g_{10} (3 x + 5)

lo g_{e} (\frac{1}{3})

ln (\frac{x ^{2}}{3 x + 2})

\frac{1}{2} lo g_{2} (7) - 2 lo g_{2} (5)

lo g_{10} (\frac{9 x}{y})

ln (\frac{6 x 1 + 8 x}{( x - 4 ) ^{13}})

What is log_{10}(6x^2+x-15)-log_{10}(2x-3) ?
The solution to log_{10}(6x^2+x-15)-log_{10}(2x-3) is log_{10}(3x+5)