Question

1. 2 logbq + 8 logbt (1 point)
logb (q2 + t8)
logb(q2t8)
logb(qt2 + 8)
(2 + 8) logb (q + t)
2. 4 log x – 6 log (x + 2) (1 point)
24 log
log x4(x + 2)6
log x (x + 2)24
none of these

Answer 1

For the first question:
\[2 \log_bq + 8 \log_bt \]You need to use the following log properties to simplify it:
1) \(a\log x = \log x^a\)
2) \(\log m + \log n = \log (mn)\)

Example:
\[2 \log_bq=log_b q^2\]
So, try to do the first question. If you don't understand, ask.

Answer 2

2 logbq + 8 logbt = logb(q2t8) ???

Answer 3

Yes!!

Answer 4

Thank you! It was easier than I thought.

Answer 5

I'm still confused about the second question.

Answer 6

Use the property \[a\log b = \log b^a\] and \[\log m - \log n = \log \frac{m}{n}\] to do it

Answer 7

Thank you. I got it right =D

Answer 8

Welcome :)