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Aptitude - Surds and Indices - Discussion

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3.

Given that 10^0.48 = x, 10^0.70 = y and x^z = y², then the value of z is close to:

[A].

1.45

[B].

1.88

[C].

2.9

[D].

3.7

Answer: Option C

Explanation:

x^z = y² 10^(0.48z) = 10^{(2 x 0.70)} = 10^1.40

0.48z = 1.40

z = 140 = 35 = 2.9 (approx.)

48 12

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