SOLUTION: Can you help me with some questions to help me understand how to do it? log5 7x=2 log3(n-3)=4 logx(49)=2 log(1000)=x log2(2^5^X^-1)=9 log(4x-1)=2

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Question 1031659: Can you help me with some questions to help me understand how to do it?
log5 7x=2
log3(n-3)=4
logx(49)=2
log(1000)=x
log2(2^5^X^-1)=9
log(4x-1)=2

Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52792)   (Show Source): You can put this solution on YOUR website!
.
Can you help me with some questions to help me understand how to do it?

log5 7x=2            7x = 

log3(n-3)=4          n-3 = 

logx(49)=2           x = 7

log(1000)=x           = 3  --->  x = 3.

log2(2^5^X^-1)=9     ambiguous since you don't use parentheses properly

log(4x-1)=2           = 2  --->  4x-1 = 100.


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Use inverse functions




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( note that base 10 is assumed when
the base is not specified )



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( hope I copied this right )




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You may have trouble "reading" the
log functions
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In general, if you have:
log ( to some base ) ( that gives me this result ) = the log, which is an exponent
or, with symbols:

The left side is TELLING you that the right side is a log ( exponent )
You know the base is , so the equation has to look like:

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You can go in either direction, too


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Then you have to apply the laws of logs and
the inverse of the log -the exponent function
Hope this helps

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