Question

write the log equation as an exponential equation. you do not need to solve for x. \\(\log_{7}(5) = 2x\\)

Explanation:

Step1: Recall the logarithmic to exponential conversion formula

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

Step2: Apply the formula to the given equation

In the given equation \(\log_{7}(5) = 2x\), we have \(b = 7\), \(a=5\) and \(c = 2x\). Using the conversion formula \(b^{c}=a\), we substitute the values of \(b\), \(c\) and \(a\).

So the exponential form of the equation \(\log_{7}(5)=2x\) is \(7^{2x}=5\).

Answer:

\(7^{2x}=5\)