Question

convert to an exponential equation
log 0.0001 = -4
the equivalent exponential equation is
□ = 0.0001

Explanation:

Step1: Recall log to exponential rule

The logarithmic equation \(\log_b a = c\) converts to the exponential equation \(b^c = a\), where \(b>0\), \(b
eq1\), and \(\log\) here is base 10 (common logarithm, so \(b = 10\)).

Step2: Identify values from given log equation

Given \(\log 0.0001=-4\), we have \(b = 10\), \(a = 0.0001\), and \(c=-4\).

Step3: Apply the conversion rule

Using \(b^c = a\) with \(b = 10\), \(c=-4\), we get \(10^{-4}=0.0001\).

Answer:

\(10^{-4}\)