What is log_{10}(2)+log_{10}(x+3)-log_{10}(x+5) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(2)+log_{10}(x+3)-log_{10}(x+5)

simplify

lo g_{10} (2) + lo g_{10} (x + 3) - lo g_{10} (x + 5)

lo g_{10} (\frac{2 ( x + 3 )}{x + 5})

Solution steps

lo g_{10} (2) + lo g_{10} (x + 3) - lo g_{10} (x + 5)

Apply log rule:

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

lo g_{10} (2) + lo g_{10} (x + 3) = lo g_{10} (2 (x + 3))

= lo g_{10} (2 (x + 3)) - lo g_{10} (x + 5)

Apply log rule:

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

lo g_{10} (2 (x + 3)) - lo g_{10} (x + 5) = lo g_{10} (\frac{2 ( x + 3 )}{x + 5})

= lo g_{10} (\frac{2 ( x + 3 )}{x + 5})

ln (\frac{10}{x})

lo g_{2} (\frac{x}{5})

ln (\frac{16}{5})

lo g_{10} (5 b) + lo g_{10} (2 c^{2})

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