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Popular >

simplify ln(xe^{2x})

Solution

simplify

ln (x e^{2 x})

Solution

ln (x) + 2 x

Solution steps

ln (x e^{2 x})

Apply log rule:

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

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

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

Apply log rule:

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

ln (e^{2 x}) = 2 x ln (e)

= ln (x) + 2 x ln (e)

2 x ln (e) = 2 x

= ln (x) + 2 x

Popular Examples

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4 lo g_{c} (x) - 6 lo g_{c} (y^{5})

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ln (10 e^{2})

simplify 1/2 log_{10}(s)+5log_{10}(x)simplify

\frac{1}{2} lo g_{10} (s) + 5 lo g_{10} (x)

simplify-log_{10}(1.4\times 10^{-3})simplify

- lo g_{10} (1.4 \times 1 0^{- 3})

Frequently Asked Questions (FAQ)

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