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OpenStudy (anonymous):
log(4x+1)=1+log(x-1)
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OpenStudy (anonymous):
Combine like terms with each others :
Log(4x+1)-Log(x-1)=1
Then Use Log property
Can you continue ?
OpenStudy (anonymous):
the left hand side becomes
\[\log\left(\frac{4x+1}{x-1}\right)=1\]
OpenStudy (anonymous):
Then change it to exponential
OpenStudy (anonymous):
if you cant put a negative in the log what happens to the left hand side? or does x-1 become x+1
OpenStudy (anonymous):
After you change it to exponential ,it will be
10^1=(4x+1)/(x-1)
multiply by (x-1) to both sides
and solve for x
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OpenStudy (anonymous):
There is a variable in log (x-1) in order to avoid being a negative though
OpenStudy (anonymous):
10x-10 = 4x+1
10x = 4x + 11
6x = 11
x = 11/6
i feel like thats not right lol
OpenStudy (anonymous):
\[\Huge \color{Red}{That's~Right~♥ ❤ ❥}\]
OpenStudy (anonymous):
OMG :D yay :) so is it most proper to write as a fraction or as a decimal
OpenStudy (anonymous):
it says "type an exact answer using radicals or log functions as needed"
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OpenStudy (anonymous):
I think fraction would be better :P
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