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Two numbers, a and b, are each greater than zero, and the square root of a is equal to the cube root of b. for what value of x is a, raised to the 2 x minus 1, power equal to b ?

Respuesta :

The computation shows that the value of x will be 1.25.

How to illustrate the information?

From the information, the numbers given are represented by a and b.

✓a = 3✓b

a^1/2 = b ^ 2/3

a = b^2/3

Substitute

b^(2/3)2x - 1 = b

Compare exponents

2/3(2x - 1) = 1

4x - 2 = 3

x = 5/4

x = 1.25

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