Oblicz
a)log½25+log½0,001
b)log₃36-log₃4
a)log½25+log½0,01 = log1/2 (25 * 0,01) = log1/2 (25/100) = log1/2 (1/4) log1/2 (1/2)^2 = 2 * log1/2(1/2) = 2 * 1 = 2
b)log₃36-log₃4 log3 (36/4) = log3 9 = log3 3^2 = 2log3 3 = 2 * 1 = 2
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a)log½25+log½0,01 = log1/2 (25 * 0,01) = log1/2 (25/100) = log1/2 (1/4) log1/2 (1/2)^2 = 2 * log1/2(1/2) = 2 * 1 = 2
b)log₃36-log₃4 log3 (36/4) = log3 9 = log3 3^2 = 2log3 3 = 2 * 1 = 2