en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(6)-3ln(x)

Solution

simplify

2 ln (6) - 3 ln (x)

Solution

ln (\frac{36}{x ^{3}})

Solution steps

2 ln (6) - 3 ln (x)

Apply log rule:

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

2 ln (6) = ln (6^{2})

= ln (6^{2}) - 3 ln (x)

Apply log rule:

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

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

= ln (6^{2}) - ln (x^{3})

Apply log rule:

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

ln (6^{2}) - ln (x^{3}) = ln (\frac{6 ^{2}}{x ^{3}})

= ln (\frac{6 ^{2}}{x ^{3}})

6^{2} = 36

= ln (\frac{36}{x ^{3}})

Popular Examples

simplify ln((a^2)/(b^{-1)c^1})simplify

ln (\frac{a ^{2}}{b ^{- 1} c ^{1}})

simplify 2/3*log_{10}(7.71*10^{28})-9.1 simplify

\frac{2}{3} \cdot lo g_{10} (7.71 \cdot 1 0^{28}) - 9.1

simplify-log_{10}(8.7*10^{-12})simplify

- lo g_{10} (8.7 \cdot 1 0^{- 12})

simplify ln(0.61022*10^{-5})simplify

ln (0.61022 \cdot 1 0^{- 5})

simplify 14+log_{10}(2.59831*10^{-6})simplify

14 + lo g_{10} (2.59831 \cdot 1 0^{- 6})

Frequently Asked Questions (FAQ)

What is 2ln(6)-3ln(x) ?
The solution to 2ln(6)-3ln(x) is ln((36)/(x^3))