Physics, asked by Anonymous, 1 year ago

Log7 base 10 = a, find log 1/70 base 10

Answers

Answered by HappiestWriter012
10
Hi thanks for the question!

 log_{10}(7)  = a

 log_{10}( \frac{1}{70} )  \\  =  log_{10}(1)  -  log_{10}(70)  \\  =  -  log_{10}(70)  \\  =  -  ( log_{10}(10)  +  log_{10}(7) ) \\  =  - (1 + a)

Hope helped!
Answered by aradhyasinghi
3
Log 7 base 10=a. log 7^-1 base 10 = -log 7 base 10.=-a log 1/7 base 10 = -a. log 1/7×10 base 10= log 1/7 base 10 + log 1/10 base 10 =-a -1 Ans
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