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OpenStudy (anonymous):
hi
OpenStudy (anonymous):
find the exact value of the logarithm
OpenStudy (anonymous):
log base5 (4)+logbase 5(50
OpenStudy (anonymous):
hi can you help me please
OpenStudy (anonymous):
its about logarithm expresion
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OpenStudy (anonymous):
cann some one help me pleasee
OpenStudy (anonymous):
here is what i did
log(base 5) 4 + log(base5)50
log(4)/log(5)+log(50)/log(5)
log(4)+log(50)/log(5)
log(4*50)/log(5)
log(200)/log(5)
OpenStudy (anonymous):
but i dont know how to continue
OpenStudy (anonymous):
helllllllllpppppp pleasseeeeeeeeeeeeeeeee
OpenStudy (anonymous):
the base are same then just add the 4 and 50
as i remember
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OpenStudy (solomonzelman):
You did it wrong, but close
log(base 5) 4 + log(base5) 50 = log(base 5)(4 times 50)=log(base 5)(200)
as log(base x) y + log(basex) c = log(base x) (y times c)
OpenStudy (anonymous):
and thats it
OpenStudy (solomonzelman):
No, not yet.
OpenStudy (anonymous):
?
OpenStudy (anonymous):
so i multiply 4 times 500
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OpenStudy (solomonzelman):
log(base 5)(200) go the other way, don't combine,
log(base 5)(200)=log(base 5)(5 times 5 times 8)= log(base 5 ) + 5 log(base 5 ) +log(base 5 ) 8
and log(base 5 ) 5=1
OpenStudy (anonymous):
sorry 50
OpenStudy (solomonzelman):
What 50 ?
OpenStudy (solomonzelman):
look at what I wrote.
OpenStudy (anonymous):
the 50 from the expresion
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OpenStudy (anonymous):
ok i dont get it but you say that the answer is 1?
OpenStudy (solomonzelman):
log(base 5) 4 + log(base5) 50 = log(base 5)(4 times 50)=log(base 5)(200)
log(base 5)(200)=log(base 5)(5 times 5 times 8)= log(base 5 ) + 5 log(base 5 ) +log(base 5 ) 8
and we know log(base 5 ) 5=1
OpenStudy (solomonzelman):
So
1+1+log(base 5) 8
OpenStudy (solomonzelman):
this equals?
OpenStudy (anonymous):
2log(base5)8
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