en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(2x^{7x})

Solution

simplify

ln (2 x^{7 x})

Solution

ln (2) + 7 x ln (x)

Solution steps

ln (2 x^{7 x})

Apply log rule:

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

ln (2 x^{7 x}) = ln (2) + ln (x^{7 x})

= ln (2) + ln (x^{7 x})

Apply log rule:

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

ln (x^{7 x}) = 7 x ln (x)

= ln (2) + 7 x ln (x)

Popular Examples

simplify ln(e^x(x^2+1))simplify

ln (e^{x} (x^{2} + 1))

simplify ln(x/(22))simplify

ln (\frac{x}{22})

simplify ln(ge^{-gx})simplify

ln (g e^{- gx})

simplify 3log_{10}(r)-2log_{10}(s)+log_{10}(t)simplify

3 lo g_{10} (r) - 2 lo g_{10} (s) + lo g_{10} (t)

simplify ln((x^5-5)/x)simplify

ln (\frac{x ^{5} - 5}{x})

Frequently Asked Questions (FAQ)

What is ln(2x^{7x}) ?
The solution to ln(2x^{7x}) is ln(2)+7xln(x)