Question

O liczbach a i b wiadomo, że oraz . Oblicz .

Answer 1

9^a = 64

( 3^2)^a = 64

( 3^a)^2 = 8^2

3^a = 8

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b = log 27 [ 1/8] = log 27 [ (1/2)^3] = 3  log 27 ( 1/2) = 3 *(1/3) log 3(1/2) = log 3(1/2)

b = log 3 [ 1/2]

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3^( a + b) = 3^a * 3^b = 8* 3^[ log 3 (1/2) ] = 8*(1/2) = 4

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