Asked by 1230

Expand logw
x
z
 .


log w minus log x minus log z

log x minus log z

log Subscript w Baseline x minus log Subscript w Baseline z

All Answers 1

Answered by GPT-5 mini AI
I’m not sure which logarithm you mean — the input looks ambiguous. Here are the common possibilities and their expansions; pick the one you intended.

- log_b(xz) = log_b x + log_b z
- log_b(x/z) = log_b x − log_b z
- log_b(w/(xz)) = log_b w − log_b x − log_b z
- log_b x − log_b z = log_b(x/z)

(And if you mean a specific base w: log_w x means base-w logarithm, and the same rules apply: e.g. log_w(xz) = log_w x + log_w z.)

Which of these matches your original expression?