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yan [13]
3 years ago
6

Write the log equation as an exponential equation. You do not need to solve for x. \log_9\left(2\right)=2x-1 log 9 ​ (2)=2x−1

Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

9^{2x-1} = 2\\

Step-by-step explanation:

According to the law of logarithm;

If \ log_ab = x\\a^x = b

Given

\log_9\left(2\right)=2x-1

Comparing with the original expression;

a = 9, b = 2 and c = 2x - 1

Substitute into the result indicinal expression;

9^{2x-1} = 2\\

This gives the required exponential equation

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Is it true that if one of the factors is 0, the product is 1?​
kaheart [24]

Answer:

The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0. (This is not really new.) If ab = 0, then either a = 0 or b = 0, or both a and b are 0.

hope it helped

5 0
3 years ago
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The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the pop
NikAS [45]

Answer:

  • p(t) = 100×1.0153^(12t)
  • 1.53% per month

Step-by-step explanation:

In general, the function will be written ...

  p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

  growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

  1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

  p(t) = 100×1.20^t

__

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

  p(t) = 100×(1.20^(1/12))^( 12t)

  p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

  1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

5 0
3 years ago
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PLEASE HELP = simplify 3/4(-10+2/5)
solniwko [45]
There are many ways to do this depending on the property you have to use:

If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:

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Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:

\frac{-150+6}{20}

Now you can just add them together to get:
\frac{-144}{20}

and then simplify your fraction:
\frac{-36}{5} or - \frac{36}{5} 

The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.
3 0
3 years ago
|8| &gt; |-8| True False<br> answer please
Tom [10]

Answer:

false

Step-by-step explanation:

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iren [92.7K]

Answer: 7.83

Step-by-step explanation:

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