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skad [1K]
3 years ago
7

What is the exponential form of log5 9 = x?

Mathematics
1 answer:
Cloud [144]3 years ago
5 0

Step-by-step explanation:

log₅ 9 = x

5^(log₅ 9) = 5^x

9 = 5^x

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An absolute value equation that equals 3 and -3
forsale [732]

Answer\sqrt{9}

Step-by-step explanation:

3 0
3 years ago
What is the answer for 17x> -7
Alex17521 [72]

Answer:

x > -7/17

Step-by-step explanation:

You first divide -7 by 17 to isolate the variable, (x).

And thats it!

8 0
3 years ago
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
How do you do 51 and 54?
NemiM [27]
51. I checked the comments but I still didn't understand it, sorry :/

54.

(43+45+47+49)=184

They are all odd and they are in consecutive order (one after another)
5 0
3 years ago
Examine the quadratic equation 9x^2+12x +4= 0.
mestny [16]

Answer:

See answers and explanations

Step-by-step explanation:

A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0

B) Since the discriminant is 0, this means the equation only has one root.

C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)

4 0
3 years ago
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