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Popular >

simplify ln(-30e^{15k})

Solution

simplify

ln (- 30 e^{15 k})

Solution

ln (30) + 15 k

Solution steps

ln (- 30 e^{15 k})

Apply log rule:

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

ln (- 30 e^{15 k}) = ln (30) + ln (e^{15 k})

= ln (30) + ln (e^{15 k})

Apply log rule:

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

ln (e^{15 k}) = 15 k ln (e)

= ln (30) + 15 k ln (e)

15 k ln (e) = 15 k

= ln (30) + 15 k

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Frequently Asked Questions (FAQ)

What is ln(-30e^{15k}) ?
The solution to ln(-30e^{15k}) is ln(30)+15k