SOLUTION: If 3^x = 5^y = (75)^z, show that z = xy/(2x + y)

SOLUTION: If 3^x = 5^y = (75)^z, show that z = xy/(2x + y)

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Question 1135275: If 3^x = 5^y = (75)^z, show that z = xy/(2x + y)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

If , show that

Let .....1)
So, , and
since
substituting the values from step 1) above,
[By the law of exponents]
Equating the powers from both sides,

Taking reciprocal, [Proved]

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