Question

Solving exponential equations

10^(x-2) = 1,000

Answer 1

Answer: x = 5

Explanation:

So, let's make the right side an exponent too. But, we need a base of 10. What exponent turns 10 into 1000?

3

So, we can set up the equation like:

10^(x-2) = 10^(3)

Ignoring the bases, we can put the exponents equal to each other

x - 2 = 3

x = 5