Solve log10+log15-2log5
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Answered by
2
hi friends
log10 + log 15- 2 log 5=
0.77815125038
thank you
log10 + log 15- 2 log 5=
0.77815125038
thank you
Answered by
3
Hello dear
use the property of logab = loga + logb ----------1
we know that log 10 = 1
and write log 15 as log3×5 => log5 + log3
=> 1 + log5 + log3 - 2log5
=> 1 + log5 ( 1 -2) + log3
=> 1 - log5 +log3
=> 1+log3-log5
we can write log5 as log(10/2)
=> log5 =. log10 - log2
now log3 = 0.414 and log2 = 0.301
so plug the values
=> 1 + 0.477 -1 + 0.301
=> 0.778
use the property of logab = loga + logb ----------1
we know that log 10 = 1
and write log 15 as log3×5 => log5 + log3
=> 1 + log5 + log3 - 2log5
=> 1 + log5 ( 1 -2) + log3
=> 1 - log5 +log3
=> 1+log3-log5
we can write log5 as log(10/2)
=> log5 =. log10 - log2
now log3 = 0.414 and log2 = 0.301
so plug the values
=> 1 + 0.477 -1 + 0.301
=> 0.778
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