Question

Find the value of x

Answer 1

(√3)^x = (3)^7

so, (√3)^x = (√3)2*7           [∵ 3  = √3²]
  
 so, x = 7*2 = 14

Answer 2

$Given: \sqrt{3} ^x = 3^7$

$3^{ \frac{1}{2}x } = 3^7$

$\frac{1}{2} x = 7$

$\frac{x}{2} = 7$

x = 14.


Hope this helps!