SOLUTION: log (base 81) 9= i have 81^x=9 but i do not know what to do next. log (base x) (1/36)=-2 i have x^-2=(1/36) but i dont know what to do next

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: log (base 81) 9= i have 81^x=9 but i do not know what to do next. log (base x) (1/36)=-2 i have x^-2=(1/36) but i dont know what to do next      Log On


   



Question 247772: log (base 81) 9= i have 81^x=9 but i do not know what to do next.
log (base x) (1/36)=-2 i have x^-2=(1/36) but i dont know what to do next

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log (base 81) 9= i have 81^x=9 but i do not know what to do next.
81 is 9^2, so 9 = 81^(1/2) or sqrt(81)
log%2881%2C9%29+=+1%2F2
------------------------
log (base x) (1/36)=-2 i have x^-2=(1/36) but i dont know what to do next
x%5E-2+=+1%2F36
1%2Fx%5E2+=+1%2F36
x%5E2+=+36
x = 6