SOLUTION: Express the following as a single logarithm of base a 2 log a(x+1)-log a(4)

Click here to see ALL problems on logarithm

Question 1198773: Express the following as a single logarithm of base a
2 log a(x+1)-log a(4)

Found 2 solutions by Theo, Alan3354:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
loga(x + 1) - loga(4) is equal to loga((x+1)/4)

when a = 10, you get log10(x+1) - log10(4) = log10((x+1)/4) which is equal to log((x+1)/4) on your calculator.

to confirm, get the result of log(x+1) - log(4) and then compare it to the result of log((x+1)/4)

they should be the same.

take any random value of x that will give you a real answer.
x = 27 will do.
log(28) - log(4) = .84509804
log(28/4) = log(7) = the same.

this confirms that loga(x+1) - loga(4) is equivalent to loga((x+1)/4)

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Express the following as a single logarithm of base a
2 log a(x+1)-log a(4)
==============
= log((x+1)^2/4)
=