Answer:
x=-2
Step-by-step explanation:
216=6^(4x+11)
[tex]216=6^{4x+11}[/tex]
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
[tex]6^3=6^{4x+11}[/tex]
Both sides have same base 6. So we make the exponents equal and solve for x
[tex]3=4x+11[/tex]
subtract 11 on both sides
[tex]-8=4x[/tex]
Divide both sides by 4
[tex]-2=x[/tex]
