To find the value of x, we can set the two equations equal to each other:
(0.5)^x = 1/64 and (3/7)^(3x-7) = (7/3)^(7x-3)
For the first equation:
0.5 = 1/(2^6) = 2^(-6So, we can rewrite the equation as2^(-6x) = 2^(-6)
This implies that -6x = -6 which means x = 1
For the second equation:
(3/7)^(3x-7) = (7/3)^(7x-3(3/7)^(3x-7) = (3/7)^-(7x-3)
This implies that 3x - 7 = -7x + 10x = 1x = 1
Therefore, the solution is x = 1.
To find the value of x, we can set the two equations equal to each other:
(0.5)^x = 1/64 and (3/7)^(3x-7) = (7/3)^(7x-3)
For the first equation:
0.5 = 1/(2^6) = 2^(-6
So, we can rewrite the equation as
2^(-6x) = 2^(-6)
This implies that -6x = -6 which means x = 1
For the second equation:
(3/7)^(3x-7) = (7/3)^(7x-3
(3/7)^(3x-7) = (3/7)^-(7x-3)
This implies that 3x - 7 = -7x +
10x = 1
x = 1
Therefore, the solution is x = 1.