What is the solution to the equation 9^3x ≈ 7?

Solution:

Given that:

9^3x = 7

We need to remove the power.

We can use the log function.

So, let’s start by taking 10 as base on both the sides

log (9^3x) = log (7)

3x * log (9) = log (7)

x = log (7) / 3log (9)

This will give us:

x = log (7) / 3log (9) = 0.2952

What is the solution to the equation 9^3x ≈ 7?

Summary:

The solution to the equation 9^3x ≈ 7 is 0.295