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91Ó°ÊÓ

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log _{b} x^{3} $$

Short Answer

Expert verified
The expanded form of \( \log_b x^3 \) is \( 3 \log_b x \).

Step by step solution

01

Apply the Power Rule

According to the power rule of logarithms, you can expand \(\log_b x^3 \) as \(3 \log_b x\). This rule states that \(\log_a b^n = n \log_a b \). Therefore, in our case, n equals 3 and b equals x.

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