en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 16+4ln(5)-4ln(3)

Solution

simplify

16 + 4 ln (5) - 4 ln (3)

Solution

16 + ln (\frac{625}{81})

+1

Decimal Notation

18.04330 \dots

Solution steps

16 + 4 ln (5) - 4 ln (3)

Apply log rule:

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

4 ln (5) = ln (5^{4})

= 16 + ln (5^{4}) - 4 ln (3)

Apply log rule:

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

4 ln (3) = ln (3^{4})

= 16 + ln (5^{4}) - ln (3^{4})

Apply log rule:

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

ln (5^{4}) - ln (3^{4}) = ln (\frac{5 ^{4}}{3 ^{4}})

= 16 + ln (\frac{5 ^{4}}{3 ^{4}})

\frac{5 ^{4}}{3 ^{4}} = \frac{625}{81}

= 16 + ln (\frac{625}{81})

Popular Examples

simplify ln(((a-b))/c)simplify

ln (\frac{( a - b )}{c})

simplify ln(x)+7ln(y)simplify

ln (x) + 7 ln (y)

simplify 9log_{n}(c)-log_{n}(q)simplify

9 lo g_{n} (c) - lo g_{n} (q)

simplify ln(15*e^{x/T})simplify

ln (15 \cdot e^{\frac{x}{T}})

simplify ln((e^{-k}*k^x)/(x!))simplify

ln (\frac{e ^{- k} \cdot k ^{x}}{x !})

Frequently Asked Questions (FAQ)

What is 16+4ln(5)-4ln(3) ?
The solution to 16+4ln(5)-4ln(3) is 16+ln(625/81)