Question

2352 is equal to 2 the power x into 3 power Y into 70 power Z then X + Y + Z is equal to

Answer 1

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Answer 2

According to the question, we have

2352 = 2 to power x × 3 to power y × 7 to power z

Or

2352 = 2^x + 3^y + 7^z  .............. (1)

The prime factorization of  2352 gives us

2352 = 2 × 2 × 2 × 2 × 3 × 7 × 7

2353 = 2^4 + 3^1 + 7^2    ............. (2)

Comparing (1) and (2) , we have

2^x + 3^y + 7^z  = 2^4 + 3^1 + 7^2

So we have  

x = 4 , y = 1 , z = 2

so we have

x + y + z = 4 + 1 + 2

x + y + z = 7  is the required Answer.