Question

Solve. open parentheses square root of 7 close parentheses to the 6 x power = 49x-6

Answer 1

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

Answer 2

Is this the equation?
$(\sqrt{7^}}) ^6x} = 49 ^{x-6}$

First is to transform the two sides of the equation to have like bases.
$7^{ \frac{6x}{2} } = 7^{2(x-6)}$

Simplifying would result to:
$7^{3x}} = 7^{2x-12}$

Equating the exponents:
3x =2x+12
x= 12

If you would want to solve for x then x=12.