What is expand log_{10}((xy)/(10)) ?

The solution to expand log_{10}((xy)/(10)) is log_{10}(x)+log_{10}(y)-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}((xy)/(10))

expand

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

lo g_{10} (x) + lo g_{10} (y) - 1

Solution steps

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

Apply log rule:

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

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

= lo g_{10} (x y) - lo g_{10} (10)

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

= lo g_{10} (x) + lo g_{10} (y) - 1

ln (\frac{12}{7}) \cdot 10

2 ln (81) - ln (11)

3 lo g_{2} (x) + 2 lo g_{2} (x + 1)

\frac{15}{4 ln ( 2 )} + 4

x - 4.34 + lo g_{10} (\frac{0.018}{0.033})

What is expand log_{10}((xy)/(10)) ?
The solution to expand log_{10}((xy)/(10)) is log_{10}(x)+log_{10}(y)-1