What is the answer to 512=4(x+15)^{7/6} ?

The answer to 512=4(x+15)^{7/6} is x=49

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512=4(x+15)^{7/6}

512 = 4 (x + 15)^{\frac{7}{6}}

x = 49

Solution steps

512 = 4 (x + 15)^{\frac{7}{6}}

Switch sides

4 (x + 15)^{\frac{7}{6}} = 512

Divide both sides by

4

(x + 15)^{\frac{7}{6}} = 128

Take both sides of the equation to the power of

\frac{6}{7} : (x + 15) = 64

(x + 15) = 64

Solve

(x + 15) = 64 : x = 49

x = 49

Verify Solutions:

x = 49

True

The solution is

x = 49

2 x - \frac{4}{2 x - 4} - 4 = 0

x - 3 x = - 2

x - 2 + x - 13 = 11

x - 3 = 1

x - 4 = x

What is the answer to 512=4(x+15)^{7/6} ?
The answer to 512=4(x+15)^{7/6} is x=49
Solve for x: 512=4(x+15)^{7/6}
The solution is x=49