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krek1111 [17]
3 years ago
9

Expand the logarithmic expression. I will award brainliest.

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0
\bf \textit{logarithm of factors}\\\\
log_a(xy)\implies log_a(x)+log_a(y)
\\\\\\
\textit{Logarithm of rationals}\\\\
log_a\left(  \frac{x}{y}\right)\implies log_a(x)-log_a(y)
\\\\\\
\textit{Logarithm of exponentials}\\\\
log_a\left( x^  b \right)\implies   b\cdot  log_a(x)\\\\
-------------------------------\\\\
log_3\left( \cfrac{2r^5}{y^8} \right)\implies log_3(2r^5)-log(y^8)
\\\\\\
\boxed{log_3(2)+log_3(r^5)}-log_3(y^8)\implies log_3(2)+5log_3(r)-8log_3(y)
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How does the word equidistant relate to the term perpendicular bisector?
disa [49]
A perpendicular bisector cuts a line segment directly in half. a property of perpendicular bisectors is that any point on the line of the bisector will be equidistant (the same distance from) both end points.

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6 0
3 years ago
Each person on a boat ride pays $26 for a ticket.There are 63 passengers.How much money is collected from all the passengers?
dezoksy [38]
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4 0
3 years ago
Solve the system.
svetoff [14.1K]

Answer:

(0, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y + 5x = 1

5y - x = 5

<u>Step 2: Rewrite Systems</u>

y + 5x = 1

  1. Subtract 5x on both sides:                    y = 1 - 5x

<u>Step 3: Redefine Systems</u>

y = 1 - 5x

5y - x = 5

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitution in <em>y</em>:                      5(1 - 5x) - x = 5
  2. Distribute 5:                             5 - 25x - x = 5
  3. Combine like terms:                5 - 26x = 5
  4. Isolate <em>x</em> term:                          -26x = 0
  5. Isolate <em>x</em>:                                   x = 0

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    5y - x = 5
  2. Substitute in <em>x</em>:                       5y - 0 = 5
  3. Subtract:                                 5y = 5
  4. Isolate <em>y</em>:                                 y = 1
8 0
2 years ago
1. 650 - 700 - 800 = ?<br>2. 25 - 45 + 23 =?​
butalik [34]
<h2>1. −850</h2><h2>2. 3</h2>

carry on learning

7 0
3 years ago
Read 2 more answers
What is the inverse of the function f(x)= 6x-5/x+9
Goshia [24]

Answer:

Inverse of -5-9x/x-6

Step-by-step explanation:

Steps:

1: Interchange the variables x and y.      

x=6y-5/y+9

2: Solve x = 6y-5/y+9 for y

3: Multiply both sides by y+9

4: Simplify and Expand

5: Subtract 9x from both sides.

6: Simplify and Subtract y from both sides then Simplify again

7: Divide both sides by x-6

Answer: Inverse of -5-9x/x-6

<em><u>Hope this helps.</u></em>

6 0
3 years ago
Read 2 more answers
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