en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(xe^{(7x)})

Solution

simplify

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

Solution

ln (x) + 7 x

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (x) + 7 x ln (e)

7 x ln (e) = 7 x

= ln (x) + 7 x

Popular Examples

simplify log_{10}(20)+log_{10}(1/10)simplify

lo g_{10} (20) + lo g_{10} (\frac{1}{10})

simplify 5/6 log_{2}(5/6)+1/6 log_{2}(1/6)simplify

\frac{5}{6} lo g_{2} (\frac{5}{6}) + \frac{1}{6} lo g_{2} (\frac{1}{6})

simplify 6log_{2}(u)+3log_{2}(v)simplify

6 lo g_{2} (u) + 3 lo g_{2} (v)

simplify 3log_{7}(u)-2log_{7}(v)simplify

3 lo g_{7} (u) - 2 lo g_{7} (v)

simplify 1/4 ln(x)-ln(sqrt(y))+ln(z^5)simplify

\frac{1}{4} ln (x) - ln (y) + ln (z^{5})

Frequently Asked Questions (FAQ)

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