SOLUTION: Express as a single logarithm: (log base a m - log base a n)+ 2log base a k?

Algebra.Com
Question 960704: Express as a single logarithm: (log base a m - log base a n)+ 2log base a k?
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
your problem is:

loga(m) - loga(n) + 2*loga(k)

since 2*loga(k) is equal to loga(k^2), then your problem can be restated as:

loga(m) - loga(n) + loga(k^2)

since loga(m) - loga(n) is equal to loga(m/n), then your problem can be restated as:

loga(m/n) + loga(k^2)

since loga(m/n) + loga(k^2) is equal to loga(m/n * k^2), then your problem can be restated as:

loga(m/n * k^2)




RELATED QUESTIONS

Express as a single logarithm. 1) 1/2log(base m)4 + log(base m)(1/5) - 2log(base... (answered by nerdybill)
Express as a single logarithm: log(base b)9 + log(base b)... (answered by stanbon)
what is log base 4 of 27-2log base 4 of 3 as a single a... (answered by lwsshak3)
Express as a single logarithm and simplify, if possible log(base c)(8x)+4 multiplied (answered by nerdybill)
express as a single logarithm log2x+5log2y−5log2z (that is log base two of... (answered by Edwin McCravy)
Express as a single log 7^log base 7 45 + log base 6 3600 (answered by jsmallt9)
rewrite log"c"(p-q)-2log"c"(p+q) as a single logarithm where "c" is the base. (answered by lwsshak3)
Express the following as a single logarithm of base a 2 log a(x+1)-log a(4) (answered by Theo,Alan3354)
lob(base 64)x+log(base 8)x+log(base 2)x=9 Write the equation as a single logarithm.... (answered by jsmallt9)