Question

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.

log base two of eight minus log base two of z.

log base two of z divided by eight.

log base two of eight divided by z.

log base two of eight minus z.

log base four of eight divided by z.

Answer 1

log₂(8/z)

Explanation:

The applicable rule is ...

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

You have a=8 and b=z, so ...

... log₂(8) -log₂(z) = log₂(8/z)