SOLUTION: Write as a single log and simplify it: Log_4 (square root 40) + log_4 (square root 48) – log_4 (square 15)

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Question 174792: Write as a single log and simplify it:
Log_4 (square root 40) + log_4 (square root 48) – log_4 (square 15)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write as a single log and simplify it:
Log_4 (square root 40) + log_4 (square root 48) – log_4 (square 15)
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Did you mean sqrt(15) in the last term?
log%284%2Csqrt%2840%29%29+%2B+log%284%2Csqrt%2848%29%29+-+log%284%2Csqrt%2815%29%29 like that?
Since the logs all have the same base (4):
=log%284%2Csqrt%2840%29%2Asqrt%2848%29%2Fsqrt%2815%29%29
=log%284%2Csqrt%28128%29%29
= 3.5