Question

write the following equation in logarithmic terms. do not simplify your answer.
17^{2x} = 2.3
answer 4 points
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Explanation:

Step1: Recall the exponential - logarithmic conversion formula

The formula for converting an exponential equation \(a^{b}=c\) (where \(a>0,a
eq1\)) to a logarithmic equation is \(\log_{a}c = b\).

Step2: Apply the formula to the given equation

In the given equation \(17^{2x}=2.3\), we have \(a = 17\), \(b = 2x\) and \(c=2.3\).
Using the conversion formula \(\log_{a}c=b\), we substitute the values of \(a\), \(b\) and \(c\) to get \(\log_{17}(2.3)=2x\)

Answer:

\(\log_{17}(2.3)\) \(=\) \(2x\)