Question

Expand logb4x2y

Answer 1

2log(b) x -3( log(b) y + log(b) z
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remember a log c = logc^a
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log(b)x^2 -log(b)y^3 -log(b)z^3
.

remember log a +log b = log(a*b),,,and log a -log b =log(a/b)
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log(b) { x^2 / y^3 * z^3 }
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checking, let b=10,,, a=1, ,, b=2,,,c=3
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original eqn = -2.33,,,,answer = -2.33,,,,,ok

Answer 2

that 's an example

Answer 3

So I'm thinking that maybe the answer would be 16logb+logby?

Answer 4

How exactly does your log expression look like? I'm suspecting that there are exponents that aren't represented properly.

Answer 5

Sorry, there should be an exponent of 2 after the 4x

Answer 6

Okay so like this?\[\log _{b}4x ^{2} y\]

Answer 7

yes

Answer 8

Okay, let's first separate our variables into two log expressions:
\[\log _{b}4x ^{2} + \log _{b}y\]
Then, we bring down our interior exponent as a coefficient.
\[2\log _{b}4x + \log _{b}y\]
And, this is as expanded as it gets.

Answer 9

Oh yeah, the two comes out front

Answer 10

Precisely

Answer 11

I wished I would have found this website when I first started my algebra class. My instructor is very good but I was still not getting it.

Answer 12

Then he wasn't good enough ^_^

Answer 13

Online algebra is much harder and its been MANY years since my last Algebra. I have one more, is that OK? I'll close this one.

Answer 14

Sure go ahead