What is the solution to this equation?

Question

9^z-1=2

Answer 1

To solve this equation, we can add 1 to both sides of the equation:

9^z - 1 + 1 = 2 + 1
9^z = 3

Now, to isolate z, we can take the logarithm of both sides of the equation. Let's take the logarithm base 9:

log9(9^z) = log9(3)

Using the logarithmic property that log a (a^b) = b:

z = log9(3)

Therefore, z is equal to the logarithm base 9 of 3.