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# If m = n = 3s and m*n*s = 243, then s is equal to:

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Re: If m = n = 3s and m*n*s = 243, then s is equal to: [#permalink]
Bunuel wrote:
If m = n = 3s and m*n*s = 243, then s is equal to:

A. 2√2
B. 3
C. 4
D. 3√3
E. 9

$$243 = 3^5$$

If s = 3 , we have m = 3^2 , $$n = 3^2$$ thus we have $$3^2*3^2*3 = 3^5$$ , Thus, Answer must be $$s = 3$$ (B)
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Re: If m = n = 3s and m*n*s = 243, then s is equal to: [#permalink]
Bunuel wrote:
If m = n = 3s and m*n*s = 243, then s is equal to:

A. 2√2
B. 3
C. 4
D. 3√3
E. 9

Simplifying, we have:

3s * 3s * s = 243

9s^3 = 243

s^3 = 27

s = 3