Making single logarithms...?

Question

Express the given quantity as a single logarithm.

ln(5) + 2 ln(3)

I try to make it one, but other's say it's wrong...

Answer 1

ln(5) + 2 ln(3)

= ln 5 + ln 3^2

= ln 5 * 2^3

= ln 5 * 8

= ln 40

Answer 2

recall...

ln a + ln b = ln ab

and

ln (a)^b = b ln a

so...

ln 5 + ln (3)^2

ln 5 + ln 9

ln 45

you can also check this on your calculator. Type ln 5 + 2ln 3, hit enter, it's some number. Then type ln 45. They should be equal to the same number.

Answer 3

ln(5) + 2 ln(3) = ln(5) + ln(9) = ln(45)  

Answer 4

ln5 + ln3^2=ln5x9=ln45=3.40