SOLUTION: how do you evaluate the logarithm (5/3)to the power of -3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: how do you evaluate the logarithm (5/3)to the power of -3      Log On


   

Question 285060: how do you evaluate the logarithm (5/3)to the power of -3
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The way you posted your problem it is impossible to to know if it is:
log%28%28%285%2F3%29%5E%28-3%29%29%29
or
%28log%28%285%2F3%29%29%29%5E%28-3%29
In the future, please use parentheses generously to make your problem clear. Tutors are more likely to respond if the problem is clear.

Whichever of the two expressions you problem is, just get out your calculator. You will need the exponentiation ("raise to a power") key for the exponent of -3. This key often looks like "^" or x%5Ey. And you will need the logarithm, "log", key. If your calculator has keys for parentheses then you can pretty much type in what you see. If not,
  • For the first expression:
    1. Divide 5 by 3
    2. Use the exponentiation key to raise the result from step 1 to the -3 power
    3. Use the "log" key to find the (base 10) logarithm of the result from step 2.
  • For the second expression:
    1. Divide 5 by 3
    2. Use the "log" key to find the (base 10) logarithm of the result from step 1.
    3. Use the exponentiation key to raise the result from step 2 to the -3 power