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(7^(x+3))^(x-4)=(1/7)^x*49^(x+6) equation

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Numerical solution:

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The solution

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        x - 4              
/ x + 3\         -x   x + 6
\7     /      = 7  *49     
$$\left(7^{x + 3}\right)^{x - 4} = \left(\frac{1}{7}\right)^{x} 49^{x + 6}$$
Rapid solution [src]
x1 = -4
$$x_{1} = -4$$
x2 = 6
$$x_{2} = 6$$
x2 = 6
Sum and product of roots [src]
sum
-4 + 6
$$-4 + 6$$
=
2
$$2$$
product
-4*6
$$- 24$$
=
-24
$$-24$$
-24
Numerical answer [src]
x1 = 6.0
x2 = -4.0
x2 = -4.0