Question




A.

4

B.

5

C.

6

D.

7

Correct option is B


Given:
(√3)⁵ x 9² = 3ˣ = 3 x √3
Step 1: Simplify (√3)⁵
(√3)⁵ = (√3) x (√3) x (√3) x (√3) x (√3) = 3√3
Step 2: Simplify 9²
9² = 81
Substitute the simplified values back into the equation:
3√3 x 81 = 3ˣ = 3 x √3
Step 3: Simplify the equation
243√3 = 3ˣ = 3√3
Step 4: Solve for x
Since 3ˣ = 243√3, we can rewrite 243 as 3⁵:
3ˣ = 3⁵√3
Now, we can equate the exponents of 3:
x = 5

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