Question

write in its equivalent log form
$3^2 = x$

Explanation:

Step1: Recall the exponential - logarithmic conversion formula

The exponential form is \(a^{b}=c\), and its equivalent logarithmic form is \(\log_{a}c = b\), where \(a>0,a
eq1\).

Step2: Identify \(a\), \(b\) and \(c\) from \(3^{2}=x\)

In the equation \(3^{2}=x\), we have \(a = 3\), \(b = 2\) and \(c=x\).

Step3: Apply the conversion formula

Using the formula \(\log_{a}c=b\) with \(a = 3\), \(b = 2\) and \(c = x\), we get \(\log_{3}x=2\).

Answer:

\(\log_{3}x = 2\)