en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(c/(e^{4x)})

Solution

simplify

ln (\frac{c}{e ^{4 x}})

Solution

ln (c) - 4 x

Solution steps

ln (\frac{c}{e ^{4 x}})

Apply log rule:

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

ln (\frac{c}{e ^{4 x}}) = ln (c) - ln (e^{4 x})

= ln (c) - ln (e^{4 x})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{4 x}) = 4 x ln (e)

= ln (c) - 4 x ln (e)

4 x ln (e) = 4 x

= ln (c) - 4 x

Popular Examples

simplify ln((c-x)/(c+y))simplify

ln (\frac{c - x}{c + y})

join 1/2 ln(17)join

\frac{1}{2} ln (17)

simplify-log_{10}(4.56*10^{-5})simplify

- lo g_{10} (4.56 \cdot 1 0^{- 5})

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

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

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

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

Frequently Asked Questions (FAQ)

What is ln(c/(e^{4x)}) ?
The solution to ln(c/(e^{4x)}) is ln(c)-4x