11. Given log10 25 = x, log10 75 = y, evaluate without
using logarithmic tables, in terms of x, y
(i) log103, (ii) log102 (ICSE)
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8
Answer:
Hi ,
I think there is an error in the
question.
It may be like this.
If log 75 = y , log 25 = x then find
log 3 in terms of x and y.
Now ,
log 25 = x ---- ( 1 )
log 75 = y ----( 2 )
log ( 25 × 3 ) = y
log 25 + log 3 = y
*************************************†
By Logarithmic rules :
log ab = log a + log b
****************************************
x + log 3 = y [ from ( 1 ) ]
log 3 = y - x
I hope this helps you.
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