X power of 1000 * 1.08 = x power of 100 * 1.1

A:
X power of 1000 * 1.08 = x power of 100 * 1.1
10*1.08^x=1.1^x
(1.1/1.08)^x=10
Logarithm of two sides:
x lg(1.1/1.08)=1
So: x = 1 / LG (1.1 / 1.08) = 1 / 0.00796893 = 125.4873667
So: X ≈ 125.4873667

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