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

1.	Given that 100.48 = x and 100.70 = y and xz = y2 , then find the approximate value of z ?
Answer» Given, x^z = y²⇒ (10^0.48)^z ⇒ (10^0.70)² ⇒ 10^0.48z= 10^1.40⇒ 0.48z = 1.40 ⇒ z = \(\frac{140}{48} = \) 2.9 (approx)

Given that 100.48 = x and 100.70 = y and xz = y2 , then find the approximate value of z ?

Answer»

Given, x^z = y²⇒ (10^0.48)^z ⇒ (10^0.70)²

⇒ 10^0.48z= 10^1.40⇒ 0.48z = 1.40 ⇒ z = \(\frac{140}{48} = \) 2.9 (approx)