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Question

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

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Solution

Given: 2x×3y×5z=2160
First, find out the prime factorisation of 2160.
2216021080254022703135345315551
It can be observed that 2160 can be written as 24×33×51.
Also,
2x×3y×5z=24×33×51x=4, y=3, z=1
Therefore, the value of 3x×2-y×5-z is 34×2-3×5-1=81×18×15=8140.


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