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Popular >

simplify ln(xe^{3x})

Solution

simplify

ln (x e^{3 x})

Solution

ln (x) + 3 x

Solution steps

ln (x e^{3 x})

Apply log rule:

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

ln (x e^{3 x}) = ln (x) + ln (e^{3 x})

= ln (x) + ln (e^{3 x})

Apply log rule:

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

ln (e^{3 x}) = 3 x ln (e)

= ln (x) + 3 x ln (e)

3 x ln (e) = 3 x

= ln (x) + 3 x

Popular Examples

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simplify ln((5.5)/(5.5-4.2))simplify

ln (\frac{5.5}{5.5 - 4.2})

Frequently Asked Questions (FAQ)

What is ln(xe^{3x}) ?
The solution to ln(xe^{3x}) is ln(x)+3x