If log h=3/5, what is log h^3? Rewrite using the power rule, then evaluate. Write your answer as a fraction.

Answer 1

To find \( \log h^3 \), we can use the power rule of logarithms, which states that \( \log a^b = b \cdot \log a \).

Given: \[ \log h = \frac{3}{5} \]

Using the power rule to rewrite \( \log h^3 \):

\[ \log h^3 = 3 \cdot \log h \]

Now, substitute the value of \( \log h \):

\[ \log h^3 = 3 \cdot \frac{3}{5} \]

Now, perform the multiplication:

\[ \log h^3 = \frac{9}{5} \]

Thus, the value of \( \log h^3 \) is:

\[ \boxed{\frac{9}{5}} \]