Question

Solve the exponential equation for x 216=6^(4x+11)

Answer 1

the answer is negatif 2

Answer 2

x=-2

Explanation:

216=6^(4x+11)

`216=6^(4x+11)`

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

Write 216 in exponential form

216= 6 times 6 times 6 = 6^3

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

Both sides have same base 6. So we make the exponents equal and solve for x

`3=4x+11`

subtract 11 on both sides

`-8=4x`

Divide both sides by 4

`-2=x`