What is the solution set for x in log4(x+5)+log4x=log4 14

Answers

Answer 1

Answer: $log_ {4} (x+5) + log_4(x) = log_4(14)$

For logs with same base :

$log_b(f(x)) + log_b(g(x)) = log_b(f(x)*g(x))$

$Log_4(x+5) + log_4(x) =log_4((x+5)x)$

$log_4((x+5) = log_4(14)$

When the logs have the same base :

$log_b(f(x)) = log_b(g(x))$

$F(x) = g(x)$

For $log_4((x+5)x) = log_4(14)$

Solve $(x+5)x = 14$

expand

$(x+5)x = x^2 + 5x$

$x^2+5x+14$

$(x-2)(x+7) = 0$

$x = 2 , x = - 7$

Therefore, the final solution : $x = 2$

hope this helps!

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**For this question: you just have to come up w/ an equation.Jared has $3.85 in dimes and quarters. There are 25 coins in all. How many of each type of coin does he have?
Variables are: d (for dimes) and q (for quarters)

Answers

There's two actually.
0.25q + 0.10d = 3.85
q + d = 25

1. In your response, consider the specific ways a business professional might need to communicate information using a chart or graph. 2. Provide one specific example of a chart and one specific example of a graph in a business situation in which you would best be able to communicate business data.
3. State which chart and graph type you would use and why. How would this communication tool be better than text?

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6TH GRADE MATH. PLEASE HELP! 25 POINTS!

Answers

Answer:

Express as exponents) 1) 81 / 2) 4/9 3) -64

Challange: Use parenthesis) 1) 3b 2) 8x^3y^3 3)15x^2y^2

Evaluate) 1) 125 2) 81/256

Challenge) 9a^2b^2

True or flase) 1) flase 2) false 3) true 4) false

Step-by-step explanation:

Which of the following integers is in the solution set of │1 – 3x│ < 5 ?I -1
II 1
III 2

Answers

$|1-3x| < 5\n\nx=-1\n\n|1-3\cdot(-1)| < 5\n\n|1+3| < 5\n\n|4| < 5\n\n4 < 5-the\ true$

$x=1\n\n|1-3\cdot1| < 5\n\n|1-3| < 5\n\n|-2| < 5\n\n2 < 5-the\ true$

$x=2\n\n|1-3\cdot2| < 5\n\n|1-6| < 5\n\n|-5| < 5\n\n5 < 5-the\ false$

$|1-3x| < 5\n\n1-3x < 5\ \wedge\ 1-3x > -5\n\n-3x < 5-1\ \wedge\ -3x > -5-1\n\n-3x < 4\ /:(-3)\ \wedge\ -3x > -6\ /:(-3)\n\nx > -(4)/(3)\ \wedge\ x < 2\n\nx\in(-(4)/(3);\ 2)\n\nI\ x=-1\in(-(4)/(3);\ 2)\n\nII\ x=1\in(-(4)/(3);\ 2)\n\nIII\ x=2\notin(-(4)/(3);\ 2)$

Tim has an encyclopedia in 5 volumes: A–C, D–F, G–J, K–N, and O–Z. Other than alphabetically (ascending or descending), how many ways can these volumes be arranged?

Answers

Answer: B- 118

JUST TOOK THE TEST

Step-by-step explanation:

Since there are 5 volumes to rearrange and the way to find the number of combinations to rearrange objects is by multiplying numbers that you count down from the original number (5 in this case) to 1, the problem is set up as 5×4×3×2×1.
Now solve!
5×4×3×2×1
20×3×2×1
60×2×1
120×1
120
120 ways to rearrange the volumes.

Which polygon is a hexagon? A 5-sided figure. A 6-sided figure. An 8-sided figure. A 7-sided figure.

Answers

A 6 - sided figure is called a Hexagon.

What is Line segment?

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

The polygon is a Hexagon.

Now,

Since, A hexagon is made up with 6 - sided.

And, A polygon is called a Hexagon when it has 6 sides, 6 angles and 6 vertices.

Thus, A 6 - sided figure is called a Hexagon.

Learn more about the hexagon visit:

brainly.com/question/15424654

#SPJ2

Answer:

6-Sided Figure.

Step-by-step explanation:

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