What is log_{5}(x^2)-log_{5}(x) ?

The solution to log_{5}(x^2)-log_{5}(x) is log_{5}(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{5}(x^2)-log_{5}(x)

simplify

lo g_{5} (x^{2}) - lo g_{5} (x)

lo g_{5} (x)

Solution steps

lo g_{5} (x^{2}) - lo g_{5} (x)

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

lo g_{5} (x^{2}) = 2 lo g_{5} (x)

= 2 lo g_{5} (x) - lo g_{5} (x)

Add similar elements:

2 lo g_{5} (x) - lo g_{5} (x) = lo g_{5} (x)

= lo g_{5} (x)

lo g_{10} (\frac{1}{b})

2 ln (8) + 5 ln (x)

lo g_{3} (\frac{f}{27})

lo g_{\frac{1}{2}} (\frac{7}{x ^{2}})

What is log_{5}(x^2)-log_{5}(x) ?
The solution to log_{5}(x^2)-log_{5}(x) is log_{5}(x)