Based on the estimates log(2) = .03 and log(5) = .7, how do you use properties of logarithms to find approximate values for log_5(2)?

Robaffonadorkdh 2022-10-02 Answered
Based on the estimates log ( 2 ) = .03 and log ( 5 ) = .7, how do you use properties of logarithms to find approximate values for log 5 ( 2 )?
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Answers (1)

Caiden Brewer
Answered 2022-10-03 Author has 5 answers
I woul change base of the logarithm using the property:
log b x = log a x log a ( b )
in your case:
log 5 ( 2 ) = log 2 log ( 5 ) = 0.03 0.7 = 3 100 10 7 = 3 70 = 0.043
Although I am not completely sure about your estimates (in particular 0.03)....the result should give you 0.43 so that 5 0.43 = 2 !
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