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Mathematics 8 Online
OpenStudy (ny,ny):

solve for n. (log equation below.)

OpenStudy (ny,ny):

\[\log_{a} 4n-2\log_{a} x = \log_{a}x \]

rishavraj (rishavraj):

\[\log_{a}4n = \log_{a}x + \log_{a}x ^{2} \] now \[\log_{a}4n = \log_{a}x ^{3} \]

rishavraj (rishavraj):

proceed further..

OpenStudy (ny,ny):

can you explain what you did there? i dont understand

rishavraj (rishavraj):

and also m*log a = log(a)^m

rishavraj (rishavraj):

\[m \log_{a}x = \log_{a}x ^{m} \]

rishavraj (rishavraj):

\[\log_{a}x + \log_{a}y = \log_{a}xy \]

OpenStudy (ny,ny):

right. i understand where the logax^2 came from. but how did you make the equation into that? because in the original question there is subtraction not addition.

rishavraj (rishavraj):

its \[2\log_{a}x = \log_{a}x \]

OpenStudy (ny,ny):

yes the 2 became the exponent of the x.

rishavraj (rishavraj):

yeah...... so low its like \[\log_{a}4n - \log_{a}x ^{2} = \log_{a}x \]

OpenStudy (ny,ny):

ohhh.

rishavraj (rishavraj):

u can proceed now???? @NY,NY

OpenStudy (ny,ny):

lets see. 4n = x^3

rishavraj (rishavraj):

yeah.....:)))))

OpenStudy (ny,ny):

n = (x^3)/4

OpenStudy (ny,ny):

will that be the final answer?

rishavraj (rishavraj):

is there any constant value for "x" given??? if no then ths ur answer....

OpenStudy (ny,ny):

a value for x? no, the directions are to only solve for n.

rishavraj (rishavraj):

its ur answer then...

OpenStudy (ny,ny):

Thank you!

rishavraj (rishavraj):

welcome

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