To solve this equation, we can rewrite 6^2 as 36 and 4 as 2^2:
36sinx * 2^(2sinx) = 1/12
Next, we can further simplify by writing 1/12 as 2^(-2):
36sinx * 2^(2sinx) = 2^(-2)
Now, since the bases in this equation are the same, we can set the exponents equal to each other:
36sinx = -2sinx = -2/36sinx = -1/18
Therefore, the solution to the equation 6^2sinx * 4^sinx = 1/12 is sinx = -1/18.
To solve this equation, we can rewrite 6^2 as 36 and 4 as 2^2:
36sinx * 2^(2sinx) = 1/12
Next, we can further simplify by writing 1/12 as 2^(-2):
36sinx * 2^(2sinx) = 2^(-2)
Now, since the bases in this equation are the same, we can set the exponents equal to each other:
36sinx = -2
sinx = -2/36
sinx = -1/18
Therefore, the solution to the equation 6^2sinx * 4^sinx = 1/12 is sinx = -1/18.