Write as a single logarithm:

Question

6 log5(x) − log1/5(y) + 5

Answer 1

We can use the logarithmic identity that states:

log a (b) - log a (c) = log a (b/c)

Using this identity, we can simplify the expression:

6 log5(x) − log1/5(y) + 5 = log5(x^6) - log1/5(y) + log1/5(5^5) = log5(x^6 * 5^5 / y)

Therefore, the single logarithm is:



log5(x^6 * 5^5 / y)