en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8ln(c)+8ln(x)

Solution

simplify

8 ln (c) + 8 ln (x)

Solution

ln (c^{8} x^{8})

Solution steps

8 ln (c) + 8 ln (x)

Apply log rule:

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

8 ln (c) = ln (c^{8})

= ln (c^{8}) + 8 ln (x)

Apply log rule:

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

8 ln (x) = ln (x^{8})

= ln (c^{8}) + ln (x^{8})

Apply log rule:

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

ln (c^{8}) + ln (x^{8}) = ln (c^{8} x^{8})

= ln (c^{8} x^{8})

Popular Examples

simplify ln(20x)simplify

ln (20 x)

simplify 3ln(1.75)-ln(-0.5)+ln(-1)+6 simplify

3 ln (1.75) - ln (- 0.5) + ln (- 1) + 6

simplify (ln^2(2e)-ln(2))/2 simplify

\frac{ln ^{2} ( 2 e ) - ln ( 2 )}{2}

simplify-log_{10}(4.1*10^{-9})simplify

- lo g_{10} (4.1 \cdot 1 0^{- 9})

simplify 1ln(x)-5/2 ln(y)simplify

1 ln (x) - \frac{5}{2} ln (y)

Frequently Asked Questions (FAQ)

What is 8ln(c)+8ln(x) ?
The solution to 8ln(c)+8ln(x) is ln(c^8x^8)