x = 101.4, y = 100.7, xz = y3 হলে, z- এর মান কত?

x = 10^1.4, y = 10^0.7, x^z = y³ হলে, z- এর মান কত?

A 1.5

B 1.7

C 2.1

D 2.7

Correct Answer: Option A

x^z = y³ ⇒ (10^1.4)^z = (10^0.7)³
⇒ 10^1.4^z = 10^2.1⇒ 1.4z = 2.1
⇒ z = 2.1/1.4
⇒ z = 21/14
∴ z = 1.5