Question

if 2^x=3^y=6^z then z=
(1)x+y/xy (2)xy/x+y (3)2xy (4)x/y​

Answer 1

Answer:

Solution

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Correct option is C)

Given,

2

x

×3

y

×5

z

=2160,

2160=2×2×2×2×3×3×3×5

2160=2

4

×3

3

×5

1

by comparision, we get,

x=4,y=3,z=1

3

x

×2

−y

×5

−z

=3

4

×2

−3

×5

−1

=

2

3

×5

3

4

=

40

81