To solve for n in the equation R = 10000(1 + 0.1)x^n, we can follow these steps:
1. Divide both sides by 10000 to isolate the expression in parentheses:
R/10000 = (1 + 0.1)x^n
2. Subtract 1 from both sides:
(R/10000) - 1 = 0.1x^n
3. Divide both sides by 0.1:
[(R/10000) - 1]/0.1 = x^n
4. Take the logarithm of both sides with base x:
log_x{[(R/10000) - 1]/0.1} = n
Therefore, the solution for n is:
n = log_x{[(R/10000) - 1]/0.1}