Answer:
The value of m that satisfies the equation 6200 = 200^m is approximately 1.94.
Explanation:
To find the value of m, we can take the logarithm of both sides of the equation:
log(6200) = log(200^m)
By the laws of logarithms, we can simplify this to:
log(6200) = m log(200)
Now we can solve for m by dividing both sides by log(200):
m = log(6200) / log(200)
Using a calculator, we can evaluate this expression to find:
m ≈ 1.94
Therefore, the value of m that satisfies the equation 6200 = 200^m is approximately 1.94.
Hopefully this helps! I'm sorry if it doesn't. If you need more help, ask me! :]