Expand the logarithm log 3 (h/9) .

Question

Responses

log 3 h/2 - incorrect

(h − 2) - incorrect

log 3 (h − 3) - incorrect

log 3 h − 2 - correct

explain how you get the correct answer

Answer 1

To expand the logarithm log3 (h/9), we can use the property of logarithms that allows us to separate the numerator and the denominator:

log3 (h/9) = log3 h - log3 9

Since log3 9 = 2 (since 3^2 = 9), we can simplify this further:

log3 h - 2

Therefore, the correct expanded form of the given logarithm is log3 h - 2.