Simplify log3(27)-log3(9) into single logarithm
log3(27)-log3(9) = 3-2 = 1
To simplify log3(27) - log3(9) into a single logarithm, we can use the following logarithmic property:
loga(b) - loga(c) = loga(b/c)
Using this property, we can rewrite the given expression:
log3(27) - log3(9) = log3(27/9)
Simplifying further, we have:
log3(27/9) = log3(3)
Since 27 divided by 9 equals 3, we can simplify it to:
log3(27) - log3(9) = log3(3)
Therefore, the simplified expression is log3(3).
Using the rule of logarithms that states:
logb(a) - logb(c) = logb(a/c)
we can simplify log3(27)-log3(9) as follows:
log3(27)-log3(9) = log3(27/9) = log3(3)
Therefore, the simplified single logarithm is log3(3).