Given ln(m)=4,ln(n)=−7 and ln(p)=−8, evaluate:

Question

Given ln(m)=4,ln(n)=−7 and ln(p)=−8, evaluate:

ln(e^7n^4/sqrt(mp))

can you explain how to get the answer ..thanks

Answer 1

Use your log rules ...

ln(e^7n^4/sqrt(mp))
= ln (e^7) + ln (n^4) - ln (mp)^(1/2)
= 7lne + 4ln n - (1/2) (ln m + ln p)

now just sub in the given values, remember that ln e = 1

Answer 2

Given ln(m)=4,ln(n)=−7 and ln(p)=−8, evaluate:

Use your log rules ...

is it -19?