en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(8)-ln(16)

Solution

simplify

ln (8) - ln (16)

Solution

- ln (2)

+1

Decimal Notation

- 0.69314 \dots

Solution steps

ln (8) - ln (16)

Apply log rule:

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

ln (8) - ln (16) = ln (\frac{8}{16})

= ln (\frac{8}{16})

Cancel the common factor:

8

= ln (\frac{1}{2})

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= - ln (2)

Popular Examples

simplify-log_{10}(2.72*10^{-6})simplify

- lo g_{10} (2.72 \cdot 1 0^{- 6})

simplify ln(4sqrt(2))+i(45+2kpi)simplify

ln (42) + i (4 5^{\circ} + 2 kπ)

simplify ln(21)-ln(18.5)simplify

ln (21) - ln (18.5)

simplify-log_{10}(5*10^{-15})simplify

- lo g_{10} (5 \cdot 1 0^{- 15})

expand log_{10}(zx^5)expand

lo g_{10} (z x^{5})

Frequently Asked Questions (FAQ)

What is ln(8)-ln(16) ?
The solution to ln(8)-ln(16) is -ln(2)