SOLUTION: Write expression as a single log. log(base3)(squareroot ofx)- log(base 3) x^9

Question 264255: Write expression as a single log. log(base3)(squareroot ofx)- log(base 3) x^9
Found 2 solutions by palanisamy, dabanfield:
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
log(base3)(squareroot ofx)- log(base 3) x^9
= log(base3)(x^(1/2))- log(base 3) x^9
=(1/2)log(base3)x- 9log(base 3) x
=[(1/2)-9]log(base3)x
=-(17/2)log(base3)x

Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
Write expression as a single log. log(base3)(squareroot ofx)- log(base 3) x^9
1.) log(base3)(sqrt(x)) - log(base3)(x^9) =
2.) lob(base3) x^(1/2) - log(base3) (x^9)
Using the law log a - log b = log a/b we have:
3.) log(base3) x^(1/2) - log(base3)(x^9) =
4.) log(base3) x^(1/2)/x^9 = log(base3) x^(1/2 - 9) =
5.) log(base3)x^(-17/2)

RELATED QUESTIONS
Use log properties to combine the following log expression as a single logarithm.... (answered by lwsshak3)
Write each expression as a single logarithm. log radical(x)to the base 3 - log x^3... (answered by jim_thompson5910)
express as a logarithm of a single number: 1. log basex 20 + logbasex 2 2. 3 log... (answered by lwsshak3)
Write the expression as a single log: 4 log(base b)x-2 log(base b)6-1/2 log(base... (answered by lwsshak3)
Use the log properties to write 7 log(4x+5)-2 log(x+2)+log(y+9) as a single log... (answered by stanbon)
2log2+3 log x-1/2[log(x+3)+log(x-2)] write this expression as a single logarithm (answered by lwsshak3)
log(6x-3)base... (answered by harpazo)
Write the given expression as a single logarithm.... (answered by lwsshak3)
log(base... (answered by Fombitz)