Question

Obliczyć x jeśli:

a)log1/2x=-1

b)log1/2x=-2

c)log1/3x= - 1/2

d)log4x=0

Z góry dzięki ;)

Daje NAJ !!!!!!!!!!:)

Answer 1

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

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

c) log 1/3 (x) = -1/2 <=> x = (1/3)^(-1/2) = (3/1)^(1/2) = 3^(1/2) = p(3)

d) log 4 (x) = 0 <=> x = 4 ^0 = 1

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a^b  <- a do potęgi o wykładniku b

p(3) <-  pierwiastek kwadratowy z 3