What is expand log_{10}((y/3)^2) ?

The solution to expand log_{10}((y/3)^2) is 2(log_{10}(y)-log_{10}(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}((y/3)^2)

expand

lo g_{10} ((\frac{y}{3})^{2})

2 (lo g_{10} (y) - lo g_{10} (3))

Solution steps

lo g_{10} ((\frac{y}{3})^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} ((\frac{y}{3})^{2}) = 2 lo g_{10} (\frac{y}{3})

= 2 lo g_{10} (\frac{y}{3})

Apply log rule:

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

lo g_{10} (\frac{y}{3}) = lo g_{10} (y) - lo g_{10} (3)

= 2 (lo g_{10} (y) - lo g_{10} (3))

ln (\frac{3 ^{x} 6 ^{2 x}}{2 ^{2 x}})

lo g_{10} (\frac{x y ^{3}}{z ^{2}})

ln (y) - ln (y + 1)

ln (2) - ln (\frac{1}{2})

What is expand log_{10}((y/3)^2) ?
The solution to expand log_{10}((y/3)^2) is 2(log_{10}(y)-log_{10}(3))