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

the value of x=-2

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