1 log2 3=a, log2 5=b zapisz za pomocą liter a i b wyrażenia
a) log 2 45
b) log2 75
2 oblicz dla jakich a i b wykres fubkxji f(x)=ba^x przechodzi przez punkty K(1,6) L(2,24)
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1.
a) log 2 45 = log2 (9 * 5) = log2 3^2 + log2 5 = 2a + b
b) log2 75 = log2 (3 * 25) = log2 3 + log2 5^2 = a + 2b
2.
f(x)=ba^x
6 = ba^1
24 = ba^2
ab = 6
a * ab = 24
a * 6 = 24
a = 24/6
a = 4
ab = 6
4b = 6
b = 6/4
b = 3/2
odp. a = 4 b = 3/2