Question

integrate ln5^x

Answer 1

is it (ln5)^x

Answer 2

or ln[ (5^x)]

Answer 3

no it is ln(5^x)

Answer 4

if it is second case then it's easy.

Answer 5

bring the x down in front by the log rule.

Answer 6

is it 1/x *1/5^X ?

Answer 7

\[= \int\limits x \ln(5) dx= \ln(5) \int\limits x dx = \frac{\ln(5)}{2} x^2 +C\]

Answer 8

ln(5) is a constant.

Answer 9

answer in the book is x(log5^x)-1/2 (x^2)log5+C