What is the answer to (3x+5)^{3/7}=64 ?

The answer to (3x+5)^{3/7}=64 is x= 16379/3

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(3x+5)^{3/7}=64

(3 x + 5)^{\frac{3}{7}} = 64

x = \frac{16379}{3}

Decimal Notation

x = 5459.66666 \dots

Solution steps

(3 x + 5)^{\frac{3}{7}} = 64

Take both sides of the equation to the power of

7 : (3 x + 5)^{3} = 6 4^{7}

(3 x + 5)^{3} = 6 4^{7}

Solve

(3 x + 5)^{3} = 6 4^{7} : x = \frac{16379}{3}

x = \frac{16379}{3}

Verify Solutions:

x = \frac{16379}{3}

True

The solution is

x = \frac{16379}{3}

z^{3} - 7 z^{\frac{3}{2}} - 8 = 0

z^{\frac{3}{2}} - 512 = 0

y, x = 5 y - 4

\frac{- 1 - 4 y + 9}{2} = 0

What is the answer to (3x+5)^{3/7}=64 ?
The answer to (3x+5)^{3/7}=64 is x= 16379/3
Solve for x: (3x+5)^{3/7}=64
The solution is x= 16379/3