en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor ln(a/2)+ln(a^3)

Solution

factor

ln (\frac{a}{2}) + ln (a^{3})

Solution

ln (\frac{a ^{4}}{2})

Solution steps

ln (\frac{a}{2}) + ln (a^{3})

Apply log rule:

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

ln (\frac{a}{2}) + ln (a^{3}) = ln (a^{3} \frac{a}{2})

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

Factor

\frac{a}{2} a^{3} : \frac{a ^{4}}{2}

= ln (\frac{a ^{4}}{2})

Popular Examples

simplify 1/4 log_{e}(y-2)-1/4 log_{e}(y+2)simplify

\frac{1}{4} lo g_{e} (y - 2) - \frac{1}{4} lo g_{e} (y + 2)

simplify 1/2 ln|1+x^2|+1/2 ln|1+y^2|simplify

\frac{1}{2} ln 1 + x^{2} + \frac{1}{2} ln 1 + y^{2}

simplify ln(K+1)+ln(L+1)simplify

ln (K + 1) + ln (L + 1)

simplify ln(x+3)-5ln(x)+4ln(x-2)simplify

ln (x + 3) - 5 ln (x) + 4 ln (x - 2)

simplify ln(70/100)simplify

ln (\frac{70}{100})

Frequently Asked Questions (FAQ)

What is factor ln(a/2)+ln(a^3) ?
The solution to factor ln(a/2)+ln(a^3) is ln((a^4)/2)