Solve the exponential equation for x

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

the value of x=-2

Step-by-step explanation:

To solve for x  we need to make the same base on both sides

we need to get same base 6 on both sides of the equation.

216 can be written as 6 times 6 times 6 =6^3

Both sides have same base, so we equate the exponents

Subtract 11 on both sides

Divide both sides by 4

So the value of x=-2

216 = 6^3

so

216 = 6^(4x + 11)

6^3 = 6^(4x + 11)

3 = 4x + 11

4x = 3 -11

4x = - 8

 x = -2