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nexus9112 [7]
3 years ago
13

Solving Exponential Equations (lacking a common base)

Mathematics
1 answer:
devlian [24]3 years ago
5 0

Step-by-step explanation:

5ˣ⁻² = 6

Take log of both sides.

log 5ˣ⁻² = log 6

Use log exponent property.

(x − 2) log 5 = log 6

Solve for x.

x − 2 = log 6 / log 5

x = 2 + (log 6 / log 5)

x = 3.1133

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Please help me on this question, I was struggling with it for an hour from now.
krek1111 [17]

Answer:

D

Step-by-step explanation:

P(3) = ⅙

P(5) = ⅙

Trials are independent so,

P(3 then 5) = 1/6 × 1/6 = 1/36

4 0
3 years ago
If x – 9 is a factor of x2 – 5x – 36, what is the other factor?
Luba_88 [7]

Answer:

x + 4

Step-by-step explanation:

(x - 9)(x + 4)

FOIL

x^2 + 4x - 9x - 36 = x^2 - 5x - 36

5 0
3 years ago
Read 2 more answers
How do i solve this?
Andrews [41]

Answer:

F. 3 5/6

Step-by-step explanation:

3/5b - 1/2 = 1 4/5

Add 1/2 to both sides. To do this make the 4/5 have a common denominator of 10 by multiplying it by 2/2. Make 1/2 have a common den. of 10 by multiplying it by 5/5.

  • 4/5 * 2/2 = 8/10
  • 1/2 * 5/5 = 5/10

Now you can add.

3/5b = 1 13/10, which can be simplified to 2 3/10.

To isolate b, divide both sides by 3/5. This is the same as multiplying by 5/3 (reciprocal). First make 2 3/10 an improper fraction.

23/10 * 5/3 = 115/30

Simplified: 3 5/6

4 0
3 years ago
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Determine how many cards, in an ordinary deck of fifty-two, fit the description.
Irina18 [472]
12 face cards ; 13 spade cards ; 25 cards total
Face cards - Jack, Queen, King
4 suits so 4 (suits) x 3 (faces) = 12 cards for face
52 (cards total) divided by 4 (suits) = 13
Spades - 13
5 0
3 years ago
Quincy is using 320 pieces of stone tile to make red white and blue mosaic. If 20% of the pieces are blue and 35% are white how
ella [17]
100% = 320
20% = Blue tiles
35% = White Tiles
100% - 55% = Red Tiles = 45%
45% of 320
320 x 0.45 = 144 Red tiles
4 0
4 years ago
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