Question

write the log equation as an exponential equation. you do not need to solve for x.
\log (x) = x - 3

Explanation:

Step1: Recall the logarithm definition

The logarithmic equation \(\log_b(a) = c\) can be converted to the exponential equation \(b^c = a\). When the base of the logarithm is not specified, it is assumed to be 10 (common logarithm), so for \(\log(x)=x - 3\), we have \(b = 10\), \(a=x\), and \(c=x - 3\).

Step2: Apply the conversion formula

Using the formula \(b^c=a\) with \(b = 10\), \(c=x - 3\) and \(a=x\), we get the exponential equation \(10^{x - 3}=x\).

Answer:

\(10^{x - 3}=x\)