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4 years ago

Which is the solution for log(3x - 1) + log 2 = log 4 + log (x + 2) ?

Mathematics

2 answers:

Lemur [1.5K]4 years ago

6 0

Answer:x=1

Step-by-step explanation:

log(3x-1)+log2=log4+log(x+2)

log(2(3x-1))=log(4(x+2))

Cancel log on both sides

2(3x-1)=4(x+2)

Open brackets

6x-2=4x+8

Collect like terms

6x-4x=8+2

10x=10

Divide both sides by 10

10x/10=10/10

x=1

11Alexandr11 [23.1K]4 years ago

3 0

Answer:

x=5

Step-by-step explanation:

log(3x-1)+log2=log4+log(x+2)

log(2(3x-1))=log(4(x+2))

Cancel log on both sides

2(3x-1)=4(x+2)

Open brackets

6x-2=4x+8

Collect like terms

6x-4x=8+2

2x=10

Divide both sides by 2

2x/2=10/2

x=5

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Solve like this pls ————>

Westkost [7]

Answer:

7 - 3 = 4

1 - (-12) = 13

9 + 11 = 20

7 - (-4) = 28

6 × (-3) = -18

(-8) × 9 = -72

5 + (-8) = -40

(-13) -2 = -26

(-13) + (-5) = 65

(-15) × -1 = 16

(-11) -12 = 132

(-9) × 3 = -27

14 + 8 = 22

60 ÷ (-4) = -15

(-4) + (-14) = -18

20 ÷ 5 = 4

(-12) + 8 = -96

6 + 11 = 17

(-14) × 7 = -98

(-12) - 15 = 180

12 × 13 = 156

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3 years ago

Rob determined that some teenagers like to eat hot dogs, some like to eat hamburgers, and others don't like to eat hotdogs or ha

Licemer1 [7]

.5
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4 0

3 years ago

Read 2 more answers

Determine two coterminal angles in degree measure (one positive and one negative) for each angle. (There are many correct answer

Nat2105 [25]

Answer:

(a) Coterminal =495, -225

(b) Coterminal = 135,-585

Step-by-step explanation:

The angles are:

(a) 135° (b) −225°

The coterminal angle of angle x is derived by:

$Coterminal = x \± 360$

Solving (a): 135°

Substitute 135 for x in $Coterminal = x \± 360$

$Coterminal =135 \± 360$

Split

$Coterminal =135 + 360, 135 - 360$

$Coterminal =495, -225$

Solving (b): -225°

Substitute -225 for x in $Coterminal = x \± 360$

$Coterminal =-225 \± 360$

Split

$Coterminal = -225 + 360,-225 - 360$

$Coterminal = 135,-585$

7 0

3 years ago

The table shows a proportional relationship between the number of pounds of bananas purchased and the total cost of bananas.

Liula [17]

Answer:

Choice A, C and E

Step-by-step explanation:

Your table is poorly presented

Given

x y

$\begin{array}{cc} {3} & {1.47} \ \\ {5} & {2.45} \ \\ {9} & {4.41} \ \ \end{array}$

First, we calculate the constant of proportionality (k)

$k = \frac{y}{x}$

For (3,1.47)

$k = \frac{1.47}{3}$

$k = 0.49$

For (5,2.45)

$k = \frac{2.45}{5}$

$k = 0.49$

For (9,4.41)

$k = \frac{4.41}{9}$

$k = 0.49$

From the above calculations, the constant of proportionality is 0.49.

So, the usable rows must also have 0.49 as their constant of proportionality

Choice A

$(x,y) = (2,0.98)$

$k = \frac{0.98}{2}$

$k = 0.49$ --- This is usable

Choice B

$(x,y) = (7,4.45)$

$k = \frac{4.45}{7}$

$k = 0.64$ --- This is not usable

Choice C

$(x,y) = (6,2.94)$

$k = \frac{2.94}{6}$

$k = 0.49$ --- This is usable

Choice D

$(x,y) = (1,0.54)$

$k = \frac{0.54}{1}$

$k = 0.54$ ---- This is not usable

Choice E

$(x,y) = (8,3.92)$

$k = \frac{3.92}{8}$

$k = 0.49$ --- This is usable

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3 years ago

Describe the graph of the function F(X)=x^3+13x^2-26x+26

In-s [12.5K]

It is a cubic function that is down up (the direction of the ends) and has roots at (figure out the roots either 1/2/3)

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3 years ago

Which is the solution for log(3x - 1) + log 2 = log 4 + log (x + 2) ?​

Which is the solution for log(3x - 1) + log 2 = log 4 + log (x + 2) ?