If 2x = 3y = 12z, show that: 1/z=1/y=2/x

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Given, 2x = 3y = 12z Let 2x = 3y = 12z = k, First term, ⇒ 2x = k ⇒ x = 1 ⇒ 2 = Second term, ⇒ 3y = k ⇒ y = 1 ⇒ 3 = Third term, ⇒ 12z = k ⇒ z = 1 ⇒ 12 = Factorizing 12, we get : ⇒ 12 = 22 × 3 We have , Hence proved, .

Mathematics

If 2x = 3y = 12z, show that: 1/z=1/y=2/x

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Related Questions

Solve for x:
5^{(x - 3)} × 3^{(2x - 8)} = 225

Mathematics

If 2x = 3y = 12z, show that: 1/z=1/y=2/x

Indices

Related Questions

Solve for x:5(x - 3) × 3(2x - 8) = 225

Solve for x:
5^{(x - 3)} × 3^{(2x - 8)} = 225