en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(q/4)+ln(q/2)

Solution

simplify

ln (\frac{q}{4}) + ln (\frac{q}{2})

Solution

ln (\frac{q ^{2}}{8})

Solution steps

ln (\frac{q}{4}) + ln (\frac{q}{2})

Apply log rule:

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

ln (\frac{q}{4}) + ln (\frac{q}{2}) = ln (\frac{q}{4} \cdot \frac{q}{2})

= ln (\frac{q}{4} \cdot \frac{q}{2})

Simplify

\frac{q}{4} \cdot \frac{q}{2} : \frac{q ^{2}}{8}

= ln (\frac{q ^{2}}{8})

Popular Examples

simplify ln((x^2-1)/(x^2+1))simplify

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

simplify 4ln(x)+3ln(y)-5ln(z)simplify

4 ln (x) + 3 ln (y) - 5 ln (z)

simplify ln(((x+1))/((1-x)))simplify

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

simplify 8ln(x)-1/5 ln(y)simplify

8 ln (x) - \frac{1}{5} ln (y)

simplify log_{A}(A*8^4)simplify

lo g_{A} (A \cdot 8^{4})

Frequently Asked Questions (FAQ)

What is ln(q/4)+ln(q/2) ?
The solution to ln(q/4)+ln(q/2) is ln((q^2)/8)