SOLUTION: Could someone please help me with this? Rewrite as a single logarithm: alog x-blog y-clog z. first space between g & x on problem there is a little 3 but my computer will not

Algebra.Com
Question 82436: Could someone please help me with this?
Rewrite as a single logarithm:
alog x-blog y-clog z.
first space between g & x on problem there is a little 3 but my computer will not allow the function. It sets a little below the letters. It is the same number (3) between g & Y, and g & Z.

Found 2 solutions by Earlsdon, scott8148:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Rewrite as a single logarithm:
Apply the "power rule" for logarithms:
Now apply the "quotient rule" for logarithms:
Apply the quotient rule once more.
Simplify.


Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
the 3, written as a subscript, means that 3 is the base of the logs ... logarithms are just exponents that the base is raised to in order to get the desired value ... the log of 9 in base 3 is 2 because 3 to the second power is 9 ... log3(9)=2 ... subtracting logs (exponents) is the same as dividing numbers ... multiplying logs is the same as raising to a power

alog3(x)-blog3(y)-clog3(z) ...

RELATED QUESTIONS

if log{a}((x^3)/(y{z}^16))=Alog{a}(x)+Blog{a}(y)+Clog{a^2} A=? B=?... (answered by jim_thompson5910)
Please help me express this as a single logarithm: {{{... (answered by nerdybill)
Rewrite each logarithmic expression as a single logarithm with a coefficient of 1... (answered by nerdybill)
Rewrite each logarithmic expression as a single logarithm with a coefficient of 1.... (answered by stanbon)
im stuck on this problem :( log_2 x + 5 log_2 y -4 log_2 z rewrite the expression as a (answered by Alan3354)
1/2log(x)-log(y)+log(z)-1/3log(w) rewrite as a single... (answered by psbhowmick)
Rewrite the expression as a single logarithm. 1/2 [log(x) + log(y)] -... (answered by ikleyn)
Please help me solve as a single logarithm: log c sqrt x + log c y – 2log c... (answered by stanbon)
how do I rewrite the logarithm below as a single logarithm with a coefficient of 1?... (answered by stanbon,scott8148)