What is log_{10}((1000a^2)/c) ?

The solution to log_{10}((1000a^2)/c) is 3+2log_{10}(a)-log_{10}(c)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}((1000a^2)/c)

simplify

lo g_{10} (\frac{1000 a ^{2}}{c})

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

Solution steps

lo g_{10} (\frac{1000 a ^{2}}{c})

Apply log rule:

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

lo g_{10} (\frac{1000 a ^{2}}{c}) = lo g_{10} (1000 a^{2}) - lo g_{10} (c)

= lo g_{10} (1000 a^{2}) - lo g_{10} (c)

Simplify

lo g_{10} (1000 a^{2}) : 3 + 2 lo g_{10} (a)

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

3 lo g_{10} (9) + 1 lo g_{10} (x)

ln (5) + \frac{1}{2} ln (x + 1) - 2 ln (1 + x)

3 lo g_{5} (\frac{u v ^{2}}{w ^{3}})

\frac{1}{2} lo g_{10} (24) - lo g_{10} (4)

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

What is log_{10}((1000a^2)/c) ?
The solution to log_{10}((1000a^2)/c) is 3+2log_{10}(a)-log_{10}(c)