Expand the logarithm log3(h9)

Question

.(1 point)
Responses

(h−2)
left parenthesis h minus 2 right parenthesis

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

log3h−2
logarithm subscript 3 baseline h minus 2

Answer 1

To expand the logarithm \(\log_3(h^9)\), we can use the logarithmic property that states \(\log_b(a^n) = n \cdot \log_b(a)\).

Applying this property, we have:

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

So the correct answer is:

\(9 \cdot \log_3(h)\)

However, this specific answer isn't listed in your responses. Please double-check the context or the options provided. None of the options provided correspond to the correct expansion of \(\log_3(h^9)\).