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baherus [9]
1 year ago
12

(05.02 MC) Solve 2 log x = log 64. Ox= 1.8 Ox=8 Ox= 32 Ox = 128

Mathematics
1 answer:
RoseWind [281]1 year ago
3 0

Answer:

x = 8

Step-by-step explanation:

2logx=log64\\logx^2=log64

now that both sides has log, you can remove them and leave it as:

x^{2} =64\\

take the square root of both sides:

x = [8, -8]\\x = 8

logarithmic equations can't have negative solutions, plus -8 isn't an option

i hope this helped!

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koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

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AP:BP = 1 : 2

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\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

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Take square of both sides

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Evaluate all squares

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Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

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3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

x^2 + 4x + y^2 +8y  =  0

3 0
3 years ago
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