Expand the logarithm log3(h9) .(1 point) Responses log3h−2 logarithm subscript 3 baseline h minus 2 log3h2 Start Fraction logarithm subscript 3 baseline h over 2 End Fraction log3(h−3) logarithm subscript 3 baseline left parenthesis h minus 3 right parenthesis (h−2)

Answer 1

To expand the logarithm \( \log_3(h^9) \), we can use the properties of logarithms.

1. The first property we can use is that \( \log_a(b^n) = n \cdot \log_a(b) \).

Applying this to \( \log_3(h^9) \):

\[ \log_3(h^9) = 9 \cdot \log_3(h) \]

Thus, the expanded form of \( \log_3(h^9) \) is:

\[ 9 \log_3(h) \]

Since this form does not appear in your provided responses, none of the responses seem to be correct based on the standard expansion method of logarithms. If you meant a different expression or have specific options that were meant to answer the expansion, please clarify!

Answer 2

Not an option