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_2^8-log_2z

Answer 1

\[\log_{2}8-\log_{2}z \]

Answer 2

hope you know that ? log a - log b = log a/b

Answer 3

yes and it can be 2^3 correct?

Answer 4

Sorry.
In this case you are combining the logs into one, so keep the 8 as 8.
Use the product rule we discussed before that @jhonyy9 wrote above.

Answer 5

so it will be log_2 8/z?

Answer 6

Correct.

Answer 7

\[\log_{2}(8/2)\]

Answer 8

yes
sorry, but gtg

Answer 9

i mean z sorry

Answer 10

i know what you meant