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Popular >

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

Solution

simplify

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

Solution

ln (7) + x

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (7) + x ln (e)

x ln (e) = x

= ln (7) + x

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Frequently Asked Questions (FAQ)

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