My solution was: -.3, which is wrong...
The right solution should be: 1.3
I followed these steps:
2*(1/3)^(0.3-x)-4=2
2*(1/3)^(0.3-x)=-2
(1/3)^(0.3-x)=-1
(1/3)^(0.3-x)=-(1/3)^0
0.3-x=0
x=.3
2*(1/3)^(0.3-x)-4=2 add 4 to both sides
2*(1/3)^(0.3-x) = 6 divide both sides by 2
(1/3)^(.3 - x) = 3
Note...... (1/3)^(.3 - x) = 1 / [ 3^(.3 - x)] = 3^[ - ( .3 - x)] = 3^(x - .3)
3^(x - .3) = 3^1 equate exponents
x - .3 = 1 add .3 to both sides
x = 1.3
