log 36
9
(27)
plz solve this
Answers
Answered by
5
log 36= 1.556302500767287
log 9= 0.59424350943
log 27= 1.43136376416
please mark as brain list please
log 9= 0.59424350943
log 27= 1.43136376416
please mark as brain list please
Answered by
0
log36 you first have to write number 36 as a product of powers of 2 and 3.
36=6^2=(2⋅3)^2
So you can write:
log36=log(2⋅3)^2
Now you can use the properties of logarythms which say rhat:
logab = b⋅loga log(a⋅b) = loga+logb
After using rule 1 you get:
log(2⋅3)^2= 2⋅log(2⋅3)
Now if you use rule 2 you get the final result:
2⋅log(2⋅3)=2⋅(log2+log3)
log36=2⋅(log2+log3)
===============================
log 9
=log 3^2
=2 log 3
= .9542
===============================
log 27
=log 3^3
= 3 log 3
=1.431
===============================
Hope it's helpful
36=6^2=(2⋅3)^2
So you can write:
log36=log(2⋅3)^2
Now you can use the properties of logarythms which say rhat:
logab = b⋅loga log(a⋅b) = loga+logb
After using rule 1 you get:
log(2⋅3)^2= 2⋅log(2⋅3)
Now if you use rule 2 you get the final result:
2⋅log(2⋅3)=2⋅(log2+log3)
log36=2⋅(log2+log3)
===============================
log 9
=log 3^2
=2 log 3
= .9542
===============================
log 27
=log 3^3
= 3 log 3
=1.431
===============================
Hope it's helpful
omsing:
this was only 1 question not the 3 parts
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