Certain corresponding values of x and log10x are given below:
x: 300 304 305 307
log10 x: 2.4771 2.4829 2.4843 2.4871
Find log10 (310) by Lagrange’s formula.
Here the intervals are unequal.
By Lagrange’s interpolation formula we have
Put x=310x=310x=310
log10(310)=2.4914\log_{10}(310)=2.4914log10(310)=2.4914
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