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.