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Abdul Lateef

· started a discussion

· 1 Months ago

Wrong options (Question: 113511.0 )

If we put 8^2 =4^3 = 2^6 that is
a^x = b^y = c^z
by comparing corresponding parts it is satisfying the condition of logarithm but no option is correct and correct relation is
x*y = z

Question:

If ax = by = cz, and logba = logcb, then which one of the following will hold true?

Options:
A) y2 = xz
B) x2 = yz
C) z2 = xy
D) y = xz
Solution:
Ans: (a) 


then according to given question since  logb a = logc b

\(\cfrac{y}{x}=\cfrac{z}{y}\Rightarrow y^2=xz\)

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