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Popular >

simplify ln(7e^{7x})

Solution

simplify

ln (7 e^{7 x})

Solution

ln (7) + 7 x

Solution steps

ln (7 e^{7 x})

Apply log rule:

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

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

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

7 x ln (e) = 7 x

= ln (7) + 7 x

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Frequently Asked Questions (FAQ)

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