if cube root of 2 into root 5 is equals to 500 whole power 1 by X then X is equals to
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given ,
3√2 × √5 = (500)^1/x
2^1/3 × 5^1/2 = (125 × 4 ) ^ 1/x
2^1/3 × 5^1/2 = (2^2 × 5^3 ) ^ 1/x
2^1/3 * 5^1/2 = (2^2)^1/x * (5^3)^1/x
2^1/3 * 5^1/2 = 2^2/x * 5^3/x
comparing both sides
as bases are equal powers must be equal
we can write
1/3 = 2/x or 1/2 = 3/x
x = 6
3√2 × √5 = (500)^1/x
2^1/3 × 5^1/2 = (125 × 4 ) ^ 1/x
2^1/3 × 5^1/2 = (2^2 × 5^3 ) ^ 1/x
2^1/3 * 5^1/2 = (2^2)^1/x * (5^3)^1/x
2^1/3 * 5^1/2 = 2^2/x * 5^3/x
comparing both sides
as bases are equal powers must be equal
we can write
1/3 = 2/x or 1/2 = 3/x
x = 6
pravinsir:
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