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Lorico [155]
3 years ago
14

Solve this equation log3X + log3(x-6) = log3 7

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Hello!

log₃(x) + log₃(x - 6) = log₃(7) <=>

<=> log₃(x * (x - 6)) = log₃(7) <=>

<=> log₃(x² - 6x) = log₃(7) <=>

<=> x² - 6x = 7 <=>

<=> x² - 6x - 7 = 0 <=>

<=> x² + x - 7x - 7 = 0 <=>

<=> x * (x + 1) - 7 * (x + 1) = 0 <=>

<=> (x + 1) * (x - 7) = 0 <=>

<=> x + 1 = 0 and x - 7 = 0 <=>

<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>

<=> x = 7

Good luck! :)

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Answer:

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2 years ago
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alexgriva [62]

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3 years ago
For Spirit Day, each 8th-grade
Mrac [35]

Answer: Option A

P(B and V)=10%

Step-by-step explanation:

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nCr =\frac{n!}{r!(n-r)!}

Where n is the number of objects that can be chosen and you choose r from them.

There are 5 colors of shirts.

The number of shirts that can be made by combining 2 of the 5 possible colors is calculated as:

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The number of shirts that can be made by combining 2 of the 2 possible colors (B) and (V) is calculated as:

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6 0
4 years ago
Read 2 more answers
Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population
laila [671]

Here we will use exponential form, which is

y = y_{0} e^{kt}

Initial value, y0 = 500

Double of 500 = 1000

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Required equation is

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6 0
4 years ago
The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?
gladu [14]
We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub


p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
p= \frac {(x-6)(x+1)(x+4)}{(x-2)}

7 0
3 years ago
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