What is log_{10}((sqrt(x))/(10x^2)) ?

The solution to log_{10}((sqrt(x))/(10x^2)) is log_{10}(sqrt(x))-1-2log_{10}(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}((sqrt(x))/(10x^2))

simplify

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

lo g_{10} (x) - 1 - 2 lo g_{10} (x)

Solution steps

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

Apply log rule:

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

lo g_{10} (\frac{x}{10 x ^{2}}) = lo g_{10} (x) - lo g_{10} (10 x^{2})

= lo g_{10} (x) - lo g_{10} (10 x^{2})

Apply log rule:

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

lo g_{10} (10 x^{2}) = lo g_{10} (10) + lo g_{10} (x^{2})

= lo g_{10} (x) - (lo g_{10} (x^{2}) + lo g_{10} (10))

Apply log rule:

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

lo g_{10} (x^{2}) = 2 lo g_{10} (x)

= lo g_{10} (x) - (lo g_{10} (10) + 2 lo g_{10} (x))

Apply log rule:

lo g_{a} (a) = 1

= lo g_{10} (x) - (2 lo g_{10} (x) + 1)

- (1 + 2 lo g_{10} (x)) : - 1 - 2 lo g_{10} (x)

= lo g_{10} (x) - 1 - 2 lo g_{10} (x)

3 ln (x) + 4 ln (yz) - ln (x^{3} y^{2})

lo g_{8} (\frac{1}{6})

- lo g_{10} (1 x 1 0^{- 3})

ln (\frac{3 y}{x ^{5}})

ln (x^{2} - 25) - ln (x + 5)

What is log_{10}((sqrt(x))/(10x^2)) ?
The solution to log_{10}((sqrt(x))/(10x^2)) is log_{10}(sqrt(x))-1-2log_{10}(x)