log_(10)10000=4 2 Write an equivalent logarithmic equation for: a 2^2=4 b 4^3=64

## Step 1: <br />The given equation is \(2^{2}=4\). This is an exponential equation. We can convert it into a logarithmic equation using the definition of a logarithm. <br /><br />### The definition of a logarithm is: If \(b^{y}=x\), then \(\log_{b}x=y\).<br /><br />## Step 2:<br />Using the definition of a logarithm, we can rewrite the given equation \(2^{2}=4\) as \(\log_{2}4=2\).<br /><br />## Step 3:<br />Similarly, for the equation \(4^{3}=64\), we can rewrite it as \(\log_{4}64=3\).