O ile procent wartość wyrażenia log₅5⁷ jest większa od wartości wyrażenia log₂(log₃81)?
A. O 28(całych) i4/7%.
B. O 71(całych) i 3/7%.
C. O 250%.
D. O 350%.
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log5 5^7 = 7 * log5 5 = 7 * 1 = 7
log2 (log3 81) = log2 (log3 3^4) = log2 (4 * log3 3) = log2 (4 * 1) = log2 4 = log2 2^2 = 2 * log2 2 = 2 * 1 = 2
7 ----- x %
2 ----- 100%
x = (7 * 100) / 2 = 700/2 = 350%
350% - 100% = 250%
odp. C