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)

What logarithm rules have you applied to the expression?

Kidpure said:

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)

Click to expand...

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!