Question

Solve the exponential equation for x

Answer 1

216 = 6^3

so

216 = 6^(4x + 11)

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

3 = 4x + 11

4x = 3 -11

4x = - 8

 x = -2

Answer 2

Answer:

the value of x=-2

Step-by-step explanation:

$216=6^{4x+11}$

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

$6^3=6^{4x+11}$

Both sides have same base, so we equate the exponents

$3=4x+11$

Subtract 11 on both sides

$-8=4x$

Divide both sides by 4

$-2=x$

So the value of x=-2