What is log_{10}((3a)/4) ?

The solution to log_{10}((3a)/4) is log_{10}(3)+log_{10}(a)-2log_{10}(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}((3a)/4)

simplify

lo g_{10} (\frac{3 a}{4})

lo g_{10} (3) + lo g_{10} (a) - 2 lo g_{10} (2)

Solution steps

lo g_{10} (\frac{3 a}{4})

Apply log rule:

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

lo g_{10} (\frac{3 a}{4}) = lo g_{10} (3 a) - lo g_{10} (4)

= lo g_{10} (3 a) - lo g_{10} (4)

lo g_{10} (3 a) = lo g_{10} (3) + lo g_{10} (a)

lo g_{10} (4) = 2 lo g_{10} (2)

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

ln (a) + ln (b)

lo g_{3} (x) - lo g_{3} (x^{3})

lo g_{12} (12 x)

lo g_{10} (\frac{x}{1000})

ln (\frac{z}{x y})

What is log_{10}((3a)/4) ?
The solution to log_{10}((3a)/4) is log_{10}(3)+log_{10}(a)-2log_{10}(2)