Логарифмы, нужна помощь, с решением желательно)

1) log7 (2x+5) = 2 ------> ОДЗ: (2x+5)>0 ---------> x > -5\2
(2x+5) = 7^2 ------------> 2x = 44 --------------------> x = 22

2) log5 log2 log7 x = 0 ------> ОДЗ: x > 0
log2 log7 x = 5^0 = 1
log2 log7 x = 1
log7 x = 2^1
log7 x = 2 -----------------> x = 7^2 = 49

3) log4 (x-2) + log(1\2) (x-2) = 1\2 -------> ОДЗ: (x-2) > 0 -------> x > 2
log(2^2) (x-2) + log(2^(-1)) (x-2) = 1\2
(1\2)*log2 (x-2) + (1\(-1))* log2 (x-2) = 1\2
1\2 * log2 (x-2) - log2 (x-2) = 1\2
(-1\2) * log2 (x-2) = 1\2
log2 (x-2) = -1 -----------> (x-2) = 2^(-1) -----> (x-2) = 1\2 -----> x = 3\2

4) 2*(log4 x)^2 + log4 x - 1 = 0 -------> ОДЗ: x > 0
log4 x = t
2*t^2 + t - 1 = 0 -------> t1 = -1; t2 = 1\2 =>
log4 x = t1 ------> log4 x = -1 ------> x = 4^(-1) = 1\4
log4 x = t2 ------> log4 x = 1\2 -----> x = 4^(1\2) = 2
x1 * x2 = 1\4 * 2 = 1\2

5) log(1\3) (x^4+1) = log(1\3) (2x^2)
(x^4+1) = (2x^2)
x^4 - 2x^2 + 1 = 0
(x^2 - 1)^2 = 0
x^2 - 1 = 0
(x+1)(x-1) = 0 ------------> x1 = -1; x2 = +1

6) lg (x-3) - lg (7-x) = lg 3
ОДЗ: (x-3)>0 и (7-x)>0 -----> x>3 и x<7 ----------> 3 < x < 7
lg ((x-3)\(7-x)) = lg 3
(x-3)\(7-x) = 3 ----------> x-3 = 21 - 3x ------> 3x = 18 -----> x = 6

7) lg (x+2) + lg 5 = lg (4-x)
ОДЗ: (x+2)>0 и (4-x)>0 -------> x> -2 и x<4 --------> -2 < x < 4
lg ((x+2)*5) = lg (4-x)
(x+2)*5 = (4-x) ---------> 5x+10 = 4-x ----> 6x = -6 ------> x = -1

8) (lg x)^2 + 2*log100 x - 6 = 0 ---------> ОДЗ: x > 0
(lg x)^2 + 2*log(10^2) x - 6 = 0
(lg x)^2 + 2\2 * lg x - 6 = 0 --------> lg x = t
t^2 + t - 6 = 0 ---------> t1= -3; t2 = 2
lg x = t1 -----> lg x = -3 -----> x = 10^(-3) = 1\1000
lg x = t2 -----> lg x = 2 ------> x = 10^2 = 100

9) lg (x^2+x) - lg x = lg 3 ---------> ОДЗ: x > 0
lg ((x^2+x)\x) = lg 3
x*(x+1)\x = 3 ------------> (x+1) = 3 ------> x = 2

10) lg (x-1) + lg (x+1) = 3*lg 2 + lg (x-2)
ОДЗ: (x-1)>0; (x+1)>0; (x-2)>0 -----> x>1; x>-1; x>2 ----------> x > 2
lg ((x-1)(x+1)) = lg (2^3*(x-2)
(x^2-1) = (8x-16)
x^2 - 8x + 15 = 0 --------> x1 = 3; x2 = 5
x1+x2 = 3+5=8

log(7)(2x+5)=49
2x+5=49
x=22

log(5)log(2)log(7)x=log(5)1
log(2)log(7)x=1
log(7)x=log(7)49
x=49