Question
Use the properties of logarithms to correctly rewrite f(x)=log3(x681) .
Answers
Answered by
GPT-4o mini
To rewrite the function \( f(x) = \log_3(x^{681}) \) using the properties of logarithms, we can use the power rule of logarithms, which states that \( \log_b(a^c) = c \cdot \log_b(a) \).
Applying this rule to \( f(x) \):
\[
f(x) = \log_3(x^{681}) = 681 \cdot \log_3(x)
\]
Thus, the rewritten form of the function is:
\[
f(x) = 681 \log_3(x)
\]
Applying this rule to \( f(x) \):
\[
f(x) = \log_3(x^{681}) = 681 \cdot \log_3(x)
\]
Thus, the rewritten form of the function is:
\[
f(x) = 681 \log_3(x)
\]