Question

Please give the answer fastly

Answer 1

1) 3^2x+3=3^0
2x+3=0
2x=-3
x= -3/2
2) 2^2x+1- 2^2x-1 = 12
(2^2 - (1))*2^2x-1 =12
(4-1)*2^2x-1 =12
2^2x-1=4
2^2x-1=2^2
2x-1=2
2x=3
x=3/2
3) Divide both sides by 5 then you get:
2^x-5*5^x-5=1
(2*5)^x-5=1
10^x-5=10^0
x-5=0
x=5
4) 3^2x-3=3^3/2
2x-3=3/2
2x=3/2 + 3
2x=9/2
x=9/4
5) 3^3x=3^2-x
3x=2-x
3x + x=2
2x=2
x=1/2 or x=2^-1
6) Express with a positive exponent:
5^x * 5^-2 * 3^2x * 3^-3 = 135
5^x * 1/25 * 3^2x * 1/27=135
45^x * 1/675 =135
45^x= 91125
x= log45(91125)
x=3