solve the equation
log (base 3) 9^x=-2
the solution set is _________
type an integer or simplified fraction (use comma to separate answers as needed).

Question

solve the equation
   log (base 3) 9^x=-2
the solution set is _________
  type an integer or simplified fraction (use comma to separate answers as needed).

anonymous · Answer

hey!!! you seem have problems with log? need my help?

anonymous · Answer

yes please! just learn them two days ago

anonymous · Answer

$$\log_{3} 9^x =-2---> 3^-2 = 9^x$$are you ok with that?

anonymous · Answer

what is it turn to? 3-2=9^x?

anonymous · Answer

that the formula, log (base a) b = c means a^c =b

anonymous · Answer

your a is 3 (base 3) your c is -2 (the whole log =-2), your b is 9^x

anonymous · Answer

oh okay i just didn't see what it turns to

anonymous · Answer

now, right side is 9^x = 3^2x is it ok?

anonymous · Answer

left side 3^-2 = 3^2x ---> 2x =-2 --> x =-1. is it ok?

anonymous · Answer

okay

anonymous · Answer

nothing to do, right?

anonymous · Answer

thank you! looked like a hard problem can you help with another one?

anonymous · Answer

ok post at a new one.