Question

The value of x satisfying 18^4x−3 = $\left( 54\sqrt{2} \right)^{3x - 4}$ is

• A. 2
• B. 6
• C. 3
• D. 4

Answer 1

Answer: (B)

6

Answer 2

Here 18^4x−3 = $\left( 54\sqrt{2} \right)^{3x - 4}$.

Taking log on both sides, we get

(4x − 3) log18 = (3x − 4) log54$\sqrt{2}$

⇒ (4x − 3) log18 = (3x − 4) log(18)^3/2

⇒ (4x − 3) = (3x − 4). $\frac{3}{2}$

⇒ x = 6