en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(5)-3ln(2)

Solution

simplify

2 ln (5) - 3 ln (2)

Solution

ln (\frac{25}{8})

+1

Solution steps

2 ln (5) - 3 ln (2)

Apply log rule:

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

2 ln (5) = ln (5^{2})

= ln (5^{2}) - 3 ln (2)

Apply log rule:

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

3 ln (2) = ln (2^{3})

= ln (5^{2}) - ln (2^{3})

Apply log rule:

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

ln (5^{2}) - ln (2^{3}) = ln (\frac{5 ^{2}}{2 ^{3}})

= ln (\frac{5 ^{2}}{2 ^{3}})

\frac{5 ^{2}}{2 ^{3}} = \frac{25}{8}

= ln (\frac{25}{8})

Popular Examples

simplify ln(d-L)+ln(d)simplify

ln (d - L) + ln (d)

simplify ln(1/(ln(x)))simplify

ln (\frac{1}{ln ( x )})

simplify ln((6.61)/(0.358))simplify

ln (\frac{6.61}{0.358})

simplify 1/(3(ln(y)-2ln(x+y)))simplify

\frac{1}{3 ( ln ( y ) - 2 ln ( x + y ) )}

simplify 3log_{10}(x)+2log_{10}(y-4)simplify

3 lo g_{10} (x) + 2 lo g_{10} (y - 4)

Frequently Asked Questions (FAQ)

What is 2ln(5)-3ln(2) ?
The solution to 2ln(5)-3ln(2) is ln(25/8)