Determine the variable X for the expression given below.
(21x) three =(10111) x
The variable X for the expression given is 5.
Determine the variable X for the expression given below.
(21x) =(10111) x
The variable X for the expression given is 3.
To determine the variable x in the given expression (21x)^3 = (10111)x, we can set up the equation and solve for x.
First, let's expand (21x)^3 using the exponent rules:
(21x)^3 = 21^3 * x^3
Next, we can write the given expression (10111)x as a single term:
(10111)x = 10111x
Now, we can set up the equation:
21^3 * x^3 = 10111x
To simplify the equation, we can divide both sides by x:
(21^3 * x^3) / x = (10111x) / x
21^3 * x^(3-1) = 10111
Now, simplify:
21^3 * x^2 = 10111
To isolate x^2, divide both sides by 21^3:
x^2 = 10111 / 21^3
To solve for x, take the square root of both sides:
x = ±√(10111 / 21^3)
At this point, we would need to calculate the square root and divide to find the specific values of x. However, without knowing the value of (10111), we cannot determine the exact value of x.