Aptitude Question ID : 93805

Given that 10^{0.48} = x, 10^{0.70} = y, and x^{z} = y^{2}, then the value of z is close to
[A]3.7
[B]2.9
[C]1.45
[D]1.88

2.9
Given that,
10^{0.48} = x, 10^{0.70} = y
\therefore x^{z} = y^{2}
=> (10^{0.48})^{z} = (10^{0.70})^{2}
=> 10^{0.48z} = 10^{1.4}
=> z = \frac{1.4}{0.48} = 2.9
Hence option [B] is the right answer.

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