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Popular >

simplify ln(5*e^7)

Solution

simplify

ln (5 \cdot e^{7})

Solution

ln (5) + 7

+1

Decimal Notation

8.60943 \dots

Solution steps

ln (5 e^{7})

Apply log rule:

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

ln (5 e^{7}) = ln (5) + ln (e^{7})

= ln (5) + ln (e^{7})

Apply log rule:

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

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

= ln (5) + 7 ln (e)

7 ln (e) = 7

= ln (5) + 7

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Frequently Asked Questions (FAQ)

What is ln(5*e^7) ?
The solution to ln(5*e^7) is ln(5)+7