If 2^x.3^y.5^z = 2160, find the values of x, y and z. Hence, compute the value of 3^x.2^-y.5^-z.
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Question

If 2^x.3^y.5^z = 2160, find the values of x, y and z. Hence, compute the value of 3^x.2^-y.5^-z.

KnowledgeBoat · Accepted Answer

2160 = 2⁴.3³.5¹. ∴ 2⁴.3³.5¹ = 2^x.3^y.5^z. ∴ x = 4, y = 3 and z = 1. Substituting values of x, y and z in 3^x.2^-y.5^-z Hence, x = 4, y = 3 and z = 1 and 3^x.2^-y.5^-z =

Mathematics

If 2^x.3^y.5^z = 2160, find the values of x, y and z. Hence, compute the value of 3^x.2^-y.5^-z.

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Mathematics

If 2x.3y.5z = 2160, find the values of x, y and z. Hence, compute the value of 3x.2-y.5-z.

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