Rewrite log(181)

Question

log
⁡
(
1
81
)
with a negative exponent, then simplify using the Power Rule of Logarithms.(1 point)

Answer 1

To rewrite \( \log(1/81) \) with a negative exponent, we can express \( \frac{1}{81} \) as \( 81^{-1} \):

\[ \log\left(\frac{1}{81}\right) = \log(81^{-1}) \]

Now, using the Power Rule of Logarithms, which states that \( \log(a^b) = b \cdot \log(a) \), we can simplify:

\[ \log(81^{-1}) = -1 \cdot \log(81) = -\log(81) \]

So, we have:

\[ \log\left(\frac{1}{81}\right) = -\log(81) \]

Answer 2

You are wrong it is actually -4 log 3