Question

Find the value of x:

`log_sqrt(3) (x - 1) = 2`

Answer 1

`log_sqrt(3) (x - 1) = 2`

Step 1: Convert to exponential form:

The logarithmic equation log_b a = c is equivalent to b^c = a

So, applying this to the given equation:

`sqrt(3^2) = x - 1`

Step 2: Simplify the equation:

Since `sqrt(3^2) = 3`, we have:

3 = x – 1

Step 3: Solve for x:

x = 3 + 1

x = 4