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Chapter 4: Problem 20

Write each equation in its equivalent logarithmic form. $$8^{y}=300$$

Short Answer

Expert verified
\(\log_8{300}=y\). The equivalent logarithmic form of the given exponential equation is \(\log_8{300}=y\).

Step by step solution

01

Identify the components

From the given exponential equation \(8^{y} = 300\), identify the base (b), the argument (x), and the exponent (y). In this case, the base b is 8, the argument x is 300, and the exponential y is not given as a numerical value.
02

Apply logarithmic form

Transform the exponential equation \(8^{y} = 300\) into its equivalent logarithmic form, using the formula \(\log_b{x}=y\). Substitute the values for the base and the exponent. The logarithmic form of the equation will be \(\log_8{300}=y\).

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