1,5^(5x-7) =(2/3)^(x+1)
1 1/2 ^(5x-7) =(2/3)^(x+1)
(3/2)^(5x-7) = (3/2)^ -(x+1)
5x -7= - x-1
5x+x=7-1
6x=6
x=1

.
5^(x²-5x-6) =1
5^(x²-5x-6)=5^0
x²-5x-6=0
D=25+24=49=+-7²
x1=(5+7)/2=6
x2=(5-7)/2= - 1

.
0.75^(2x-3) =(1 1/3)^(5-x)
(3/4)^(2x-3) =(4/3)^(5-x)
(3/4)^(2x-3) =(3/4)^ -(5-x)
2x-3= -5+x
2x-x=3-5
x= - 2

.
(1/7)^(x²-2x-2) =1/7
(1/7)^(x²-2x-2) =(1/7)^1
x²-2x-2=1
x²-2x-3=0
D/4=1+3=4=+-2²
x1=1+2=3
x2=1-2= - 1

все решение фотках 2 штуки