What is log_{2}(A)+log_{2}(B)-2log_{2}(C) ?

The solution to log_{2}(A)+log_{2}(B)-2log_{2}(C) is log_{2}((AB)/(C^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(A)+log_{2}(B)-2log_{2}(C)

simplify

lo g_{2} (A) + lo g_{2} (B) - 2 lo g_{2} (C)

lo g_{2} (\frac{A B}{C ^{2}})

Solution steps

lo g_{2} (A) + lo g_{2} (B) - 2 lo g_{2} (C)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{2} (A) + lo g_{2} (B) = lo g_{2} (A B)

= lo g_{2} (A B) - 2 lo g_{2} (C)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{2} (C) = lo g_{2} (C^{2})

= lo g_{2} (A B) - lo g_{2} (C^{2})

Apply log rule:

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

lo g_{2} (A B) - lo g_{2} (C^{2}) = lo g_{2} (\frac{A B}{C ^{2}})

= lo g_{2} (\frac{A B}{C ^{2}})

ln (\frac{3}{5})

lo g_{10} (x) + lo g_{10} (y)

ln (10) - ln (2)

3 ln (\frac{a b ^{2}}{2})

lo g_{10} (7 x)

What is log_{2}(A)+log_{2}(B)-2log_{2}(C) ?
The solution to log_{2}(A)+log_{2}(B)-2log_{2}(C) is log_{2}((AB)/(C^2))