Question

find the x if (√6)^x=6^6​

Answer 1

Solution

$[\sqrt(6)]^{x} \: = \: 6^{6}$

$6^{\frac{x}{2}}\: = \: 6^{6}$

|| m^{x} = m^{y} ||

|| x = y ||

$\dfrac{x}{2} \: = \: 6$

$x\: = \: 2\times6$

$x \: = \: 12$

Now,

x = 12

if we put the same value in equation,

$6^{\frac{12}{2}}\: = \: 6^{6}$

$6^{6}\: = \: 6^{6}$

LHS = RHS

Hence Proved

Final Answer

$\boxed{x\: = \: 12}$

Answer 2

Answer:

answer is 12

• hope it helps