SOLUTION: reduce in only one expresion a) log3 x + log3 5y

Question 909438: reduce in only one expresion
a) log3 x + log3 5y
Found 2 solutions by MathLover1, Theo:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
log3(x) + log3(5y) is the same as log3(x * 5y)

this is based on the logarithm property that log(a*b) = log(a) + log(b)

this applies to all log bases as long as they are the same.

here's a good reference on logs that you might find helpful.

http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut44_logprop.htm

RELATED QUESTIONS
reduce in only one expresion a)b) log3 2z − log3 x. (answered by MathLover1)
2log x -log3... (answered by Theo,MathTherapy)
Log3(x+1)-log3(x)+log3(3) (answered by Alan3354)
log3 5+log3 x=log3... (answered by scott8148)
log3(x) +... (answered by stanbon)
log3 (3x+14) −log3 (5) =log3 (2) +log3 (x)... (answered by Alan3354)
Express log3(4x+ 7) - log3 x as a single... (answered by Fombitz)
Write as a single logarithm : 1/2 log3 x + log3 y -4 log3... (answered by jsmallt9)
write the expression as one logarithm log3x + Log3(5y)... (answered by nerdybill)