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ICSE Class 9 Answered

If log10^8=0.90,find the value of:-log 0.126
Asked by chatterjeesomenath76 | 20 Jul, 2021, 08:45: PM
answered-by-expert Expert Answer
I assume the question is as follows
 
begin mathsize 14px style log subscript 10 8 equals 0.9 end style  Hence  find begin mathsize 14px style log subscript 10 0.128 end style
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begin mathsize 14px style log subscript 10 8 space equals log subscript 10 2 cubed space space equals space 3 space log subscript 10 2 space equals space 0.9 end style
Hence we have , begin mathsize 14px style log subscript 10 2 space equals space 0.3 end style
begin mathsize 14px style log subscript 10 0.128 space equals space log subscript 10 128 over 1000 space equals space log subscript 10 128 space minus space log subscript 10 1000 end style
begin mathsize 14px style log subscript 10 0.128 space equals space log subscript 10 2 to the power of 7 space minus space log subscript 10 10 cubed end style

begin mathsize 14px style log subscript 10 0.128 space equals space 7 space log subscript 10 2 space minus space 3 space log subscript 10 10 space equals space 7 space cross times space 0.3 space minus space 3 space equals space minus 0.9 end style
 
 
Answered by Thiyagarajan K | 17 Sep, 2021, 04:13: PM

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