alg 2.

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)

1. 👍 0
2. 👎 0
3. 👁 182
1. .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

1. 👍 0
2. 👎 0
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

1. 👍 0
2. 👎 0
3. I have to condense it... thanks for your help

1. 👍 0
2. 👎 0
4. my teacher has a different answer... she has log base 4(1/25).

1. 👍 0
2. 👎 0
5. 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 :

1. 👍 0
2. 👎 0
6. 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

1. 👍 0
2. 👎 0
7. 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

1. 👍 0
2. 👎 0
8. can you please show me how to condense -2(3logbase 4 5-log base 4 5), thanks:)

1. 👍 0
2. 👎 0
9. 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.

1. 👍 0
2. 👎 0
10. I do not know what to say. Reiny and I did the parentheses quite different ways and both got the same answer.

1. 👍 0
2. 👎 0
11. Can you please break it down step by step and show me how you did it! thanks:)

1. 👍 0
2. 👎 0
12. 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

1. 👍 0
2. 👎 0
13. what happen to the base 4?

1. 👍 0
2. 👎 0

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

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

GheeeeZZ!!!!

1. 👍 0
2. 👎 0
15. -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)

1. 👍 0
2. 👎 0
16. What I wrote a few minutes ago is true for any old base so I left the 4 out

1. 👍 0
2. 👎 0
17. oh my bad, sorry. wait how did you get rid of the negative two on the outside?

1. 👍 0
2. 👎 0
18. ohh okay thanks

1. 👍 0
2. 👎 0
19. -2(2 log) = -4 log

1. 👍 0
2. 👎 0
20. Sorry it's not like i did that on purpose! Take a CHILL PILL!

1. 👍 0
2. 👎 0
21. huh??

1. 👍 0
2. 👎 0
22. Uh...I'm posting this one on gothomework.tk

1. 👍 0
2. 👎 0

Similar Questions

1. math

An equation and the steps to solve it are shown below: 3x − one over two (8x − 2) = 4 Step 1: 3x − 4x + 1 = 4 Step 2: x + 1 = 4 Step 3: x + 1 − 1 = 4 − 1 Step 4: x = 3 Which step was the error made and why? Step 1,

2. math

Consider the sequence of steps to solve the equation: 5(x - 3) = 7x 2 Step 1 ⇒ 10(x - 3) = 7x Step 2 ⇒ 10x - 30 = 7x Step 3 ⇒ 3x - 30 = 0 Step 4 ⇒ 3x = 30 Step 5 ⇒ x = 10 Identify the property of equality which yields

3. math

An equation and the steps to solve it are shown below: 3x − one over two (8x − 2) = 4 Step 1: 3x − 4x + 1 = 4 Step 2: x + 1 = 4 Step 3: x + 1 − 1 = 4 − 1 Step 4: x = 3 Which step was the error made and why? Step 1,

4. Help PLZ!!

consider the steps to simplify the expression. Which property is used to reach Step 3? Expression: -4 3 7 + 7 + (-3 4 7 ) Step 1: = -4 3 7 + (-3 4 7 ) + 7 Step 2: = -4 + (- 3 7 ) + (-3) + (- 4 7 ) + 7 Step 3: = -4 + (- 3 7 ) + (-

1. ALGEBRA HELP

When solving the equation, what property was used to go from step 3 to step 4? Step 1: -(2x+3= x-18 Step 2: -2x-3=x-18 Step 3: -3=3x-18 Step 4: 15=3x A)APOE B)SPOE C)MPOE D)DPOE

2. Quick math help

In which step below does a mistake first appear in simplifying the expression? 0.5(-12c+6)-3(c+4)+10(c-5) Step 1: -6c+3-3(c+4)+10(c-5) Step 2: -6c+3-3c-12+10(c-5) Step 3: -6c+3-3c-12+10c-50 Step 4: 7c-41 Please help me!!! Thank

3. Algebra

Debbie finished her algebra test early so she decided to check each of her answers. After checking her answer to question #10, she realized she made a mistake in her solution. In which step does Debbie make her mistake? Original

4. Pre-Algebra [urgent!]

I can't find the solution to this problem; can someone please show me how to solve it step-by-step? Solve the equation for y in terms of x: 1. -8x + 5y = 10 Thanks! -MC

1. Math

I need help solving the problem not the answer. (Multiple Choice) The steps below show the incomplete solution to find the value of x for the equation 7x + 8 − 3x = −6 + 10: Step 1: 7x + 8 − 3x = −6 + 10 Step 2: 7x + 8 −

2. Algebra

4) The line with slope 6/5 , going through (0, 2). Write equation in Slope Intercept Form. I am new to this so can you show me a step by step method of solving this problem so i can use it as a practice template.

3. Algebra II

Solving the formula for the indicated variable. I=prt,for r I need help knowing how to solve this problem step by step. its easier with numbers and a fraction in the problem but this problem just threw me off.......HELP PLEASE!!!!

4. Information Literacy

Please check my answer thank you. 1. Mary is documenting her sources. Which step of the research process is she on ? A. Step 3: Evaluating your sources B Step 5: Cite your sources X C. Step 4: Organize your information D. Step 2: