en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(8.513*10^{-4})

Solution

simplify

ln (8.513 \cdot 1 0^{- 4})

Solution

ln (8.513) - 4 ln (10)

+1

Decimal Notation

- 7.06874 \dots

Solution steps

ln (8.513 \cdot 1 0^{- 4})

Apply log rule:

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

ln (8.513 \cdot 1 0^{- 4}) = ln (8.513) + ln (1 0^{- 4})

= ln (8.513) + ln (1 0^{- 4})

Apply log rule:

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

ln (1 0^{- 4}) = - 4 ln (10)

= ln (8.513) - 4 ln (10)

Popular Examples

simplify ln(4e^{6-t})simplify

ln (4 e^{6 - t})

simplify e^x+log_{10}(2x^2)simplify

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

simplify 4.76+log_{10}((0.8)/3)simplify

4.76 + lo g_{10} (\frac{0.8}{3})

simplify 3ln(216)+4ln(1/36)simplify

3 ln (216) + 4 ln (\frac{1}{36})

simplify (1.6)/2 ln(10)-1.6ln(3)simplify

\frac{1.6}{2} ln (10) - 1.6 ln (3)

Frequently Asked Questions (FAQ)

What is ln(8.513*10^{-4}) ?
The solution to ln(8.513*10^{-4}) is ln(8.513)-4ln(10)