SOLUTION: write the expression as a single logarithm: 2logbw+3logby

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Question 174376: write the expression as a single logarithm: 2logbw+3logby
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2logbw + 3logby
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The "b" in this case is the base of the logs.
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logb (w^2) + logb (y^3)
= logb [w^2*y^3]
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Alog%28b%2Cw%29+%2B+3%2Alog%28b%2Cy%29
log%28b%2Cw%5E2%29+%2B+log%28b%2Cy%5E3%29
log%28b%2Cw%5E2y%5E3%29 answer
To see this more clearly, substitute some simple numbers
2%2Alog%2810%2C1000%29+%2B+3%2Alog%2810%2C100%29
2%2A3+%2B+3%2A2
12
and, from above,
log%2810%2C1000%5E2%29+%2B+log%2810%2C100%5E3%29
log%2810%2C1000%5E2%2A100%5E3%29
log%2810%2C10%5E6%2A10%5E6%29
log%2810%2C10%5E12%29
12