Surds and Indices - Arithmetic Aptitude Questions and Answers

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

1.45

1.88

2.9

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 = $\frac { 140 } { 48 }$ = $\frac { 35 } {12 }=$ 2.9(approx.)

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