Question

Oblicz x, jeżeli:

a)

b)

c)

d)

e)

f)

Answer 1

a)  log 1000 = x  <=> 10^x = 1000 => x = 3

x = 3

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b) log 2 ( x) = 10 <=> 2^10 = x  => x = 1024

x = 1024

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c) log 1/5 ( 1 ) = x <=> (1/5)^x = 1  => x = 0

x = 0

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d)  log 1/2 ( x) = - 2 <=> (1/2)^ (-2) = x  => x = 2^2 = 4

x = 4

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e)  log x ( 27 ) = 3 <=> x^3 = 27 => x = 3

x = 3

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f)  log x ( 36) = - 2  <=> x^(-2) = 36 => x = 1/6

x = 1/6

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Answer 2

rozwiązanie w załączniku