Question

Expand the logarithm log3(h/9) .(1 point) Responses log3h−2 logarithm subscript 3 baseline h minus 2 log3(h−3) logarithm subscript 3 baseline left parenthesis h minus 3 right parenthesis (h−2) left parenthesis h minus 2 right parenthesis log3h2

Answer 1

The expansion of the logarithm log3(h/9) can be written as:

log3(h) - log3(9)

Since 9 is equal to 3^2, we can simplify it further:

log3(h) - log3(3^2)

Using the property log(a^m) = m*log(a), we can rewrite it as:

log3(h) - 2log3(3)

Since log3(3) is equal to 1, we have:

log3(h) - 2

So, the correct response is log3(h) - 2.