Hi there! We are given the expression:
To condense or simplify the following logarithm. You have to remember these properties:
Properties - Logarithm
These two properties are what we need for our problem. Therefore,
We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.
Answer
- log base 4 of (a^5/b^6) is our simplifed form.
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Answer:
Step-by-step explanation:
So you got (4x-15) and x
We know it will equal 180 total so you will do
(4x-15)+x=180
Add 15 to each side
4x+x=195
5x=195
Divide each side by 5
x=39
So if X equals 39, your only possible answer is A
I have another total loan payment formula (see attached):
Total = rate * principal * # of payments / (1-((1 + rate)^-n))
Total = .005 * 15,000 * 60 / (1- ((1.005)^-60)
Total = 4,500 / (1 -0.7413721962)
Total = 4,500 / 0.2586278038
Total = 17,399.52
I know that is NOT one of the answers but I am sure of the formula and the calculations. I hope this helps.
Cylindervolume=hpir^2
V=432
432=hpir^2=original
if each is divided by 3 then
h turns to (1/3)h
r turns to (1/3)r
input and find the effect
(1/3)hpi[(1/3)r]^2
(1/3)hpi(1/9)r^2
move 1/9 to front
(1/27)hpir^2
compared to original volume (which was hpir^2)
so therefor we multiply the original volume by 1/27
432*1/27=16
the new volume is 16 cubic meters
Using algebraic equations, the number of points Yael has is calculated as: 29 points.
<h3>How to Use Algebraic Equations to Solve Word Problems?</h3>
In the given world problem, we known the following:
E = Eric
S = Shenna
Y = Yael
Their total points would be: E + S + Y = 68
S = 2(E) (Shenna has twice the points of Erik)
Y = S + 3 (Yael has three points more than Shenna)
We would therefore have the following algebraic equation:
E + 2E + (S + 3) = 68
Substitute S with 2E
E + 2E + 2E + 3 = 68
Solve for E
5E + 3 = 68
5E = 68 - 3
5E = 65
5E/5 = 65/5
E = 13
Eric's points is: 13
Yael's points = Y = S + 3
Y = S + 3 = 2E + 3
Plug in the value of E
Y = 2(13) + 3
Y = 26 + 3
Y = 29
Yael has 29 points.
Learn more about algebraic equation on:
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