(3x)^2/(27^x2)=1 I have to find the solution
this is very similar to the question above this one I just answered for you.
Give it a shot.
btw, in the factor (27^x2) is the exponent x^2 ?
yes it is x squared
If your question is
(3x)^2 / 27^(x^2)) = 1
it is of extreme difficulty, and off hand have no easy method of doing that.
Check your typing.
is your denominator (27x)^2 perhaps ?
its (3^x)^2 and the whole numerator is raised to a 2, divided by (27^x2) 27 raised to the x squared, and the whole problem = 1
To find the solution to the equation (3x)^2/(27^(x^2)) = 1, we can follow these steps:
Step 1: Simplify the equation by expanding the terms.
(3x)^2 = 27^(x^2)
Step 2: Simplify further by taking the square of the left side.
9x^2 = 27^(x^2)
Step 3: Rewrite 27 as 3 raised to the power of 3.
9x^2 = (3^3)^(x^2)
Step 4: Apply the exponent rule of raising a power to another power, which states that (a^b)^c = a^(b*c).
9x^2 = 3^(3*x^2)
Step 5: Since the bases are equal, we can equate the exponents.
x^2 = 3*x^2
Step 6: Subtract x^2 from both sides of the equation.
0 = 2*x^2
Step 7: Divide both sides of the equation by 2 to isolate x^2.
0/2 = x^2
Step 8: Simplify further.
0 = x^2
Step 9: Take the square root of both sides of the equation.
±√0 = ±√x^2
Step 10: Simplify.
0 = ±x
So, the solution to the equation (3x)^2/(27^(x^2)) = 1 is x = 0.