Question

Write the expression as a single logarithm.

5log(base b)y+6log(base b)x

Can someone help me? I'm not sure how to do this at all.

Answer 1

\[5\log_{b}y+6\log_{b}x \]

Answer 2

Please copy down the following for later reference:

"Rules of logs" include the following:

a log b = log b^a, or \[a \log b = \log b^a\]

Answer 3

So, if you're given \[5\log_{b}y, \]

Answer 4

apply this rule of logs to simplify the above.
Type out or draw your result.

Answer 5

So would it look like \[\log_b^5=\log_b^6\]