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Popular >

simplify ln(6e^{6x})

Solution

simplify

ln (6 e^{6 x})

Solution

ln (6) + 6 x

Solution steps

ln (6 e^{6 x})

Apply log rule:

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

ln (6 e^{6 x}) = ln (6) + ln (e^{6 x})

= ln (6) + ln (e^{6 x})

Apply log rule:

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

ln (e^{6 x}) = 6 x ln (e)

= ln (6) + 6 x ln (e)

6 x ln (e) = 6 x

= ln (6) + 6 x

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Frequently Asked Questions (FAQ)

What is ln(6e^{6x}) ?
The solution to ln(6e^{6x}) is ln(6)+6x