en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 6ln(6)-5ln(5)

Solution

simplify

6 ln (6) - 5 ln (5)

Solution

ln (\frac{46656}{3125})

+1

Solution steps

6 ln (6) - 5 ln (5)

Apply log rule:

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

6 ln (6) = ln (6^{6})

= ln (6^{6}) - 5 ln (5)

Apply log rule:

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

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

= ln (6^{6}) - ln (5^{5})

Apply log rule:

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

ln (6^{6}) - ln (5^{5}) = ln (\frac{6 ^{6}}{5 ^{5}})

= ln (\frac{6 ^{6}}{5 ^{5}})

\frac{6 ^{6}}{5 ^{5}} = \frac{46656}{3125}

= ln (\frac{46656}{3125})

Popular Examples

simplify log_{10}(45)+log_{10}(2.5)simplify

lo g_{10} (45) + lo g_{10} (2.5)

simplify x(ln(4)-ln(5))simplify

x (ln (4) - ln (5))

expand ln((x+2)^{tan(x)})expand

ln ((x + 2)^{t a n (x)})

simplify ln(S(t))simplify

ln (S (t))

simplify ln(1x10^{-3})simplify

ln (1 x 1 0^{- 3})

Frequently Asked Questions (FAQ)

What is 6ln(6)-5ln(5) ?
The solution to 6ln(6)-5ln(5) is ln(46656/3125)