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rodikova [14]
3 years ago
5

Help on logarithmic equations

Mathematics
2 answers:
Nataly [62]3 years ago
7 0
 these logs are all base 6
logx-2log2=4log2

logx-log2^2=log2^4

log-log4=log16
logx/4=log16
x/4=16 (multiply by 4 to both sides)
x=64
s2008m [1.1K]3 years ago
6 0
D:x\in\mathbb{R^+}\\\\use:\\log_ab-log_ac=log_a(\frac{b}{c})\\\\log_ab^c=c\cdot log_ab\\============================

log_6x-2log_62=4log_62\\\\log_6x-log_62^2=log_62^4\\\\log_6x-log_64=log_616\\\\log_6\frac{x}{4}=log_616\iff\frac{x}{4}=16\ \ \ \ |multiply\ both\ sides\ by\ 4\\\\\boxed{x=64}
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3. Factor.
sleet_krkn [62]
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
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5 0
3 years ago
What is step 2 in the problem solving process?
Vlada [557]

Answer:

read the problem

Step-by-step explanation:

a. write down the facts and figures

b. read the problem

c. find a relationship between what is given and what must be found

d. do the work

5 0
3 years ago
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Of the 350 solitaire games that Jay played, he won 154 times. What percent of the games did Jay win?
zhannawk [14.2K]
Step-by-step explanation:
To find the answer we first have to find the value of each percent, to do this we divide 100 by 350, that gets us approximately 0.286. We know that he won 154 of them we then multiply 154 by 0.286 to get the percentage of games he won and we get 44.044.
6 0
3 years ago
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If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L . y = -x + 3 y = -3x + 3 y = 3x + 3
cupoosta [38]

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts

m = \frac{3-0}{0+1} = \frac{3}{1} = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

5 0
3 years ago
Can someone please help me with this ASAP!! (will mark as brainliest if correct)
sattari [20]

Answer:

P = 6x-2

x = 14

Step-by-step explanation:

To find the perimeter, we add the sides

P = 4x-8 + 3-2x + 5x+3

Combine like terms

P = 4x-3x+5x  -8+3+3

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82 = 6x-2

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82+2 = 6x-2+2

84 = 6x

Divide each side by 6

84/6 = 6x/6

14=x

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3 years ago
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