en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(5*10^{-6})

Solution

simplify

ln (5 \cdot 1 0^{- 6})

Solution

ln (5) - 6 ln (10)

+1

Decimal

- 12.20607 \dots

Solution steps

ln (5 \cdot 1 0^{- 6})

Apply log rule:

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

ln (5 \cdot 1 0^{- 6}) = ln (5) + ln (1 0^{- 6})

= ln (5) + ln (1 0^{- 6})

Apply log rule:

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

ln (1 0^{- 6}) = - 6 ln (10)

= ln (5) - 6 ln (10)

Popular Examples

simplify ln(8/(4/2))simplify

ln (\frac{8}{\frac{4}{2}})

join log_{10}(5)sqrt(7)join

lo g_{10} (5) 7

simplify ln((xy^5)/(sqrt(z)))simplify

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

simplify ln(((n+2))/((n+1)))simplify

ln (\frac{( n + 2 )}{( n + 1 )})

simplify 4ln(P)-4ln(75-2P)simplify

4 ln (P) - 4 ln (75 - 2 P)

Frequently Asked Questions (FAQ)

What is ln(5*10^{-6}) ?
The solution to ln(5*10^{-6}) is ln(5)-6ln(10)