Question

Dane są liczby oraz . Oblicz |2a-b|

Answer 1

 wzory:

√a = a^(1/2)

(a^n)^m) = a^ (n * m) 

n * loga b = loga b^n

a^(loga x) = x 

 

a  = [ 7^(1/2) ]^log7 2 = 7^(1/2 * log7 2) = 7^(log7 2^(1/2)) = 2^(1/2) = √2

b = 2log4 8 = log4 8^2 = log4 64 = log4 4^3 = 3 * log4 4 = 3 * 1 = 3

 

|2a - b| = | 2 * √2 - 3 | = | 2√2 - 3| = -(2√2 - 3) = 3 - 2√2