Question

write the following equation in logarithmic terms. do not simplify your answer. g = 3.9^5

Explanation:

Step1: Recall the exponential - logarithmic conversion rule

The exponential form is \(a^{b}=c\), and the corresponding logarithmic form is \(\log_{a}c = b\). In the given equation \(G = 3.9^{5}\), we can identify that \(a = 3.9\), \(b=5\) and \(c = G\).

Step2: Apply the conversion rule

Using the rule \(\log_{a}c=b\) for \(a = 3.9\), \(b = 5\) and \(c=G\), we get \(\log_{3.9}G=5\)

Answer:

\(\log_{3.9}G = 5\)