en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{e}(1/2)+1

Solution

simplify

lo g_{e} (\frac{1}{2}) + 1

Solution

- ln (2) + 1

+1

Solution steps

lo g_{e} (\frac{1}{2}) + 1

Apply log rule:

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

lo g_{e} (\frac{1}{2}) = lo g_{e} (1) - lo g_{e} (2)

= lo g_{e} (1) - lo g_{e} (2) + 1

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{e} (2) + 1

Apply log rule:

lo g_{e} (x) = ln (x)

= 0 - ln (2) + 1

Add the numbers:

0 + 1 = 1

= - ln (2) + 1

Popular Examples

simplify 4log_{2}(a)+6log_{2}(b)simplify

4 lo g_{2} (a) + 6 lo g_{2} (b)

simplify ln(1/c)simplify

ln (\frac{1}{c})

simplify-log_{10}(1.18*10^{-3})simplify

- lo g_{10} (1.18 \cdot 1 0^{- 3})

simplify ln(x)+2ln(y)+ln(8-z)simplify

ln (x) + 2 ln (y) + ln (8 - z)

simplify-ln(1.8*10^{-5})simplify

- ln (1.8 \cdot 1 0^{- 5})

Frequently Asked Questions (FAQ)

What is log_{e}(1/2)+1 ?
The solution to log_{e}(1/2)+1 is -ln(2)+1