Question

Quais são os valores?

Answer 1

A)

$log(15) = log(3 \times 5) = log(3) + log(5) \\ b + log( \frac{10}{2} ) = b + log(10 ) - log(2 ) = \\ b + 1 - a = b - a + 1$
B)

$log(0.75) = log( \frac{75}{100} ) = log( \frac{3}{4} ) \\ log(3) - log(4) = b - log( {2}^{2} ) = \\ b - 2 log(2) = b - 2a$

C)

$log(36) = log(2 \times 2 \times 3 \times 3) = \\ log(2) + log(2) + log(3) + log(3) = \\ a + a + b + b = 2a + 2b$

D)

$log(0.60) = log( \frac{60}{100} ) = log( \frac{3}{5} ) \\ log(3) - log(5) = b - log( \frac{10}{2} ) = \\ b - ( log(10) - log(2)) \\ b - (1 - a) = b - 1 + a \\ = a + b - 1$