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(5)-2ln(2)

Solution

simplify

ln (8) + ln (5) - 2 ln (2)

Solution

ln (10)

+1

Decimal Notation

2.30258 \dots

Solution steps

ln (8) + ln (5) - 2 ln (2)

Apply log rule:

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

ln (8) + ln (5) = ln (8 \cdot 5)

= ln (8 \cdot 5) - 2 ln (2)

Multiply the numbers:

8 \cdot 5 = 40

= ln (40) - 2 ln (2)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (2) = ln (2^{2})

= ln (40) - ln (2^{2})

Apply log rule:

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

ln (40) - ln (2^{2}) = ln (\frac{40}{2 ^{2}})

= ln (\frac{40}{2 ^{2}})

\frac{40}{2 ^{2}} = 10

= ln (10)

Popular Examples

simplify-2ln(26.87)-ln(3.488)simplify

- 2 ln (26.87) - ln (3.488)

simplify ln(3t)-l simplify

ln (3 t) - l

simplify ln(4)-ln(10)simplify

ln (4) - ln (10)

simplify-log_{10}(3.4x10^{-5})simplify

- lo g_{10} (3.4 x 1 0^{- 5})

simplify e^{20}+ln(18x)simplify

e^{20} + ln (18 x)

Frequently Asked Questions (FAQ)

What is ln(8)+ln(5)-2ln(2) ?
The solution to ln(8)+ln(5)-2ln(2) is ln(10)