10^x - 1 = 472
Solving the Equation
The equation 10^x - 1 = 472 is a straightforward exponential equation that can be solved using basic algebraic manipulations.
Simplifying the Equation
First, we can add 1 to both sides of the equation to get:
10^x = 472 + 1 10^x = 473
Taking the Logarithm
Next, we can take the logarithm of both sides of the equation with base 10 to get:
x = log10(473)
Approximating the Value of x
Using a calculator or a computer, we can approximate the value of x:
x ≈ 2.674
Verifying the Solution
Let's plug the value of x back into the original equation to verify that it's a solution:
10^2.674 - 1 ≈ 472.999...
The solution checks out!
Conclusion
In this article, we solved the equation 10^x - 1 = 472 by adding 1 to both sides, taking the logarithm, and approximating the value of x. The solution is x ≈ 2.674.
