# Thread: A question with logarithms: Given log x = 1.322, approximate the value of log (1/x^5)

1. ## A question with logarithms: Given log x = 1.322, approximate the value of log (1/x^5)

Hello, I have been stuck on this problem for awhile. Any help would be appreciated; thanks.

*solve without calculator*
Given log x = 1.322,
approximate the value of log (1/x5)

2. What logarithm rules have you applied to the expression?

3. Originally Posted by Kidpure
Hello, I have been stuck on this problem for awhile. Any help would be appreciated; thanks.

*solve without calculator*
Given log x = 1.322,
approximate the value of log (1/x5)
Try using the log rules they gave you (here) and what you know about exponents (here). Convert the fraction inside the log to an expression with a negative power. Then apply a log rule to move that power outside of the log, and evaluate.

If you get stuck, please reply showing your thoughts and efforts so far. Thank you!

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