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6^9 x 6^-7 = 6^2
x= -7
Hope this helps :)
The equation is(√7)^6x = 49x - 6
This equation can be solved by iteration.
Rearranging:
x = ( (√7)^6x + 6 )/49
We start with a value of x = 3.
This value can be substituted to the right side and new value of x can be obtained. This new value can be substituted again to the right side of the equation and another new value for x is obtained. This process is repeated until the old and new values of x are the same.
The result is,x = 0.5
