Question

Сроооооочно! ДАЮ 35 БАЛЛОВ!!!!
1. Log4(4x-1/4) = - 1

2) y= √(x+8) (x-3)/ x²+4x-5

3) y^40 × y^-42 / y^-3

Answer 1

1) 4x - 1/4 = 4^(-1)
4x - 1/4 = 1/4
4x = 2/4
4x = 1/2
x = 1/8

2)
$y = frac{ sqrt{(x + 8)(x - 3)} }{ {x}^{2} + 4x - 5 } = frac{ sqrt{(x + 8)(x - 3)} }{(x + 5)(x - 1)}$


3)
$frac{ {y}^{40} times {y}^{ - 42} }{ {y}^{ - 3} } = frac{ {y}^{ - 2} }{ {y}^{ - 3} } = {y}^{ - 2 - ( - 3)} = {y}^{ - 2 + 3} = y$