Question

I need to write this expression into a single logarithmic form:
\[2 log_b q + 8 log_b t\]
I used the property of that:
\[log_m^n = n log m\]

So would the answer be:
\[(2 + 8) log_b (q + t)\]

Answer 1

nopes,
lets revise the log properties

Answer 2

\(\large A\log B = \log B^A \\\ \large 2 \log q = .... ? \)

Answer 3

and 8 log t = ... ?

Answer 4

\[\large 2 \log q = \log_q 2\]
\[\large\log_t 8\]

Answer 5

oh, do you mean

Answer 6

?