Apply the power property of logarithms.
-$$\log ( 2 t - 7 ) ^ { 3 }$$
A) $3 \log 2 \cdot 3 \log t - 3 \log 7$
B) $3 \log 2 + 3 \log t - 3 \log 7$
C) $3 \log 2 t - 3 \log 7$
D) $3 \log ( 2 t - 7 )$

Question

Quizplus · Accepted Answer

The power property of logarithms states that $\log_b(m^n) = n \log_b(m)$. Applying this rule to $\log ( 2 t - 7 ) ^ { 3 }$ directly gives $3 \log ( 2 t - 7 )$, without distributing the exponent inside the logarithm or breaking it into separate logarithms.

Apply the Power Property of Logarithms log⁡(2t−7)3\log ( 2 t - 7 ) ^ { 3 }log(2t−7)3

Apply the Power Property of Logarithms $\log ( 2 t - 7 ) ^ { 3 }$