# alg 2.

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can someone please show me step by step how to do this problem...
1/2log base 4 25-2(3logbase4 5-log base 4 25)

• alg 2. -

.5 log4 5^2 = log4(5)

2(3 log4 5 - 2 log4 5 ) = 2 log4 5
so we have
-1 log4(5)
= log4(.2)

that might be the answer you are looking for but if you need a number
4^x = .2 ?
x ln 4 = ln .2
x = 1.39/-1.61
= - .863

• alg 2. -

I have to condense it... thanks for your help

• alg 2. -

1/2log base 4 25-2(3logbase4 5-log base 4 25)
= 1/2 log4 25 - 2(3log4 5 - log4 25)
= log45 - 2(log4125 - log425)
= log45 - 2(log4(125/25)
= log45 - 2log45
= -log45

• alg 2. -

my teacher has a different answer... she has log base 4(1/25).

• alg 2. -

Well, I think log4 (1/5)
I got -1 log4 5
she got -2 log4 5
one of us subtracted wrong or something
However Reiny and I agree exactly, so the odds are in our favor :

• alg 2. -

my teacher got log base 4 (1/125) and it's a quiz review sheet, and all the math teachers look over it... sooo... I get how to simplify the 1/2 part but how do i condense the parenthesies

• alg 2. -

Well, Miley, if you typed your question correctly, then your teacher is wrong.

Even though both Damon and I did it slightly differently, we came up with the same answer.

I evaluated your original expression the way it stands on my calculator, and got the same result as our answer at the end.

• alg 2. -

By the way, your teacher and I both said
-n log4 x = log4 x^-n = log4 (1/x^n)
which is how we converted the negative log to positive

• alg 2. -

can you please show me how to condense -2(3logbase 4 5-log base 4 5), thanks:)

• alg 2. -

OK, Miley, in your first post you had

...-2(3logbase4 5-log base 4 25)

and now you typed
...-2(3logbase4 5-log base 4 5)

GheeeeZZ!!!!

• alg 2. -

Sorry it's not like i did that on purpose! Take a CHILL PILL!

• alg 2. -

I do not know what to say. Reiny and I did the parentheses quite different ways and both got the same answer.

• alg 2. -

Can you please break it down step by step and show me how you did it! thanks:)

• alg 2. -

You have two ways to condense the inside the parentheses up there

I did it by saying log 25 = 2 log 5

Reiny did it by saying
log 125 - log 25 = log (125/25) = log 5

• alg 2. -

what happen to the base 4?

• alg 2. -

What I wrote a few minutes ago is true for any old base so I left the 4 out

• alg 2. -

ohh okay thanks

• alg 2. -

-2(3logbase 4 5-log base 4 5)
Hey, that is not what you wrote in the original question
that is just -2 (2 log4 5)
which is
-4 log4 of 5

NOW
log4 5 - 4 log4 5
= -3 log4 5
= log4 (1/5^3)
= log4 (1/125)

• alg 2. -

oh my bad, sorry. wait how did you get rid of the negative two on the outside?

• alg 2. -

-2(2 log) = -4 log

• alg 2. -

huh??

• alg 2. -

Uh...I'm posting this one on gothomework.tk

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