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Popular >

simplify ln(5e^x)

Solution

simplify

ln (5 e^{x})

Solution

ln (5) + x

Solution steps

ln (5 e^{x})

Apply log rule:

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

ln (5 e^{x}) = ln (5) + ln (e^{x})

= ln (5) + ln (e^{x})

Apply log rule:

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

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

= ln (5) + x ln (e)

x ln (e) = x

= ln (5) + x

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Frequently Asked Questions (FAQ)

What is ln(5e^x) ?
The solution to ln(5e^x) is ln(5)+x