Question

question
write the logarithmic equation as an exponential equation.
\\(\log_{2} (8) = 3\\)
answer attempt 1 out of 2

Explanation:

Step1: Recall the logarithmic to exponential conversion formula

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

Step2: Identify the values of \(b\), \(x\), and \(y\) from the given logarithmic equation

In the equation \(\log_{2}(8) = 3\), we have \(b = 2\), \(x=8\), and \(y = 3\).

Step3: Apply the conversion formula

Substitute \(b = 2\), \(y=3\), and \(x = 8\) into the exponential form \(b^{y}=x\). We get \(2^{3}=8\).

Answer:

\(2^{3}=8\)