Condense the expression to a single logarithm using the properties of logarithms.

Question

log(x) - 1/2log(y) + 7log(z)

Answer 1

First, let's use the log power rule for the last two terms:

log(x) - log(y^1/2) + log(z⁷)

Then we can use the log division rule for the first two terms:

log (x/y^1/2) + log(z⁷)

And lastly, we can use the log product rule:

log (xz⁷/y^1/2)