SOLUTION: writen in logarithm form. 1/81=3^-4

Click here to see ALL problems on Exponential-and-logarithmic-functions

Question 1111669: writen in logarithm form.
1/81=3^-4

Found 2 solutions by Theo, TeachMath:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
basic definition of logs says:

y = b^x if and only if logb(y) = x

your equation says 1/81 = 3^-4

replace y with 1/81 and b with 3 and x with -4 and the basic definition of logs equation becomes:

1/81 = 3^-4 if and only if log3(1/81) = -4

you can use your calculator to find the value of log3(1/81).

you use the log base conversion formula of log3(1/81) = log(1/81)/log(3).

use the calculator to find that log(1/81)/log(3) = -4.

your solution is:

1/81 = 3^-4 if and only if log3(1/81) = -4

Answer by TeachMath(96) (Show Source):
You can put this solution on YOUR website!
Logarithmic form: log₃ (1/81) = - 4