Given that 100.48 = x, 100.70 = y, and xz = y2 , then the

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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

We have,
10^0.48 = x, 10^0.70 = y
∴ x^z = y²
⇒ (10^0.48)^z = (10^0.70)²
⇒ 10^0.48z = 10^1.4
⇒ 0.48z = 1.4

⇒ z =	1.4	= 2.9
	0.48