Question

Алгебра 35 баллов. Логарифмы срочно

Answer 1

$1) {28}^{ log_{28}15 - log_{28}30 } = {28}^{ log_{28} \frac{15}{30} } = \frac{15}{30} = \frac{1}{2}$

2) 2х-14>0

2х>14

х>7

3)

$a) log_{15}(x - 14) = 1 \\ x - 14 = {15}^{1} \\ x = 15 + 14 = 29 \\ b ) log_{0.17}x = log_{0.17}(2x - 14) \\ x = 2x - 14 \\ x = 14$

4)

$a) log_{0.14}(x + 0.14) \geqslant 1 \\ | ^{x + 0.14 > 0}_{ x + 0.14 \leqslant 0.14 ^{1} } \\ | ^{x > - 0.14}_{x \leqslant 0}$

х∈(-0,14;0]

$b) log_{15}(x + 14) < 0 \\ | ^{x + 14 > 0} _{x + 14 < {15}^{0} } \\ | ^{x > - 14} _{x < - 13}$

х∈(-14;-13)