Write the expression as a single logarithm. 4 log x – 6 log (x + 2)

Answer 1

To rewrite the expression as a single logarithm, we can use the properties of logarithms.

We will start by combining the terms inside the logarithms:

4 log x - 6 log (x + 2) = log(x^4) - log((x + 2)^6)

Next, using the property of subtracting logarithms, we can write this as the logarithm of a quotient:

= log(x^4 / (x + 2)^6)

Thus, the expression 4 log x – 6 log (x + 2) can be written as log(x^4 / (x + 2)^6).