SOLUTION: log 8 ≈ 0.9 log 7 ≈ 0.8 log 12 ≈ 1.1 Find log 96

Question 1160470: log 8 ≈ 0.9
log 7 ≈ 0.8
log 12 ≈ 1.1
Find log 96

Found 2 solutions by jim_thompson5910, josgarithmetic:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

log(96) = log(12*8)
log(96) = log(12)+log(8) ... use log rule log(x*y) = log(x)+log(y)
log(96) = 1.1+0.9 approximately
log(96) = 2.0 approximately

Using a calculator, the more accurate result is roughly log(96) = 1.98227123303957
The error comes from the fact we rounded these two values
log(8) = 0.90308998699194
log(12) = 1.07918124604762
to one decimal place

Answer by josgarithmetic(39799) (Show Source): You can put this solution on YOUR website!

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