Problem 20
Question
Write each equation in its equivalent logarithmic form. $$8^{y}=300$$
Step-by-Step Solution
Verified Answer
\(\log_8{300}=y\). The equivalent logarithmic form of the given exponential equation is \(\log_8{300}=y\).
1Step 1: 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.
2Step 2: 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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