en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(2*10^{-4})

Solution

simplify

lo g_{10} (2 \cdot 1 0^{- 4})

Solution

lo g_{10} (2) - 4

+1

Solution steps

lo g_{10} (2 \cdot 1 0^{- 4})

Apply log rule:

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

lo g_{10} (2 \cdot 1 0^{- 4}) = lo g_{10} (2) + lo g_{10} (1 0^{- 4})

= lo g_{10} (2) + lo g_{10} (1 0^{- 4})

Apply log rule:

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

lo g_{10} (1 0^{- 4}) = - 4 lo g_{10} (10)

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

4 lo g_{10} (10) = 4

= lo g_{10} (2) - 4

Popular Examples

factor tx(ln(tx)-ln(ty)-1)factor

t x (ln (t x) - ln (t y) - 1)

simplify ln(x)+ln(y/x+4)simplify

ln (x) + ln (\frac{y}{x} + 4)

simplify log_{10}(191.7x^{432})simplify

lo g_{10} (191.7 x^{432})

simplify log_{10}(x(x-1)^2)simplify

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

simplify ln(x)-ln(x-5000)simplify

ln (x) - ln (x - 5000)

Frequently Asked Questions (FAQ)

What is log_{10}(2*10^{-4}) ?
The solution to log_{10}(2*10^{-4}) is log_{10}(2)-4