The Quotient Rule of Logarithms Practice
Rewrite log(1/81)
with a negative exponent, then simplify using the Power Rule of Logarithms. (1 point)
what is the answer
To rewrite log(1/81) with a negative exponent, we can use the inverse property of logarithms:
log(1/81) = -log(81)
Now, using the power rule of logarithms, we can simplify further:
-log(81) = -log(3^4)
According to the power rule of logarithms, we can bring the exponent down as a coefficient:
= -4log(3)
Therefore, the simplified form of log(1/81) using the power rule of logarithms is -4log(3).