en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify c^x-ln(c^x)+ln(x)

Solution

simplify

c^{x} - ln (c^{x}) + ln (x)

Solution

c^{x} + ln (\frac{x}{c ^{x}})

Solution steps

c^{x} - ln (c^{x}) + ln (x)

Apply log rule:

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

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

= c^{x} + ln (\frac{x}{c ^{x}})

Popular Examples

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

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

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})

Frequently Asked Questions (FAQ)

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