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IrinaK [193]
2 years ago
6

Solve each logarithmic equation. Round your answer to two decimal places.

Mathematics
2 answers:
olchik [2.2K]2 years ago
6 0

Answer:

  • x = 2

Step-by-step explanation:

Given equation

  • log_416=x

Use the property of logarithm

  • log_ab=c ⇒ b = a^c

Apply to the given equation

  • 16 = 4^x
  • 4^2=4^x
  • 2 = x
  • x=2
irga5000 [103]2 years ago
3 0

Let's see

\\ \rm\Rrightarrow log_416=x

\\ \rm\Rrightarrow 16=4^x

\\ \rm\Rrightarrow 4²=4^x

\\ \rm\Rrightarrow x=2

Done!

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Can someone help me with this one I would appreciate it very much!!
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Answer:

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Step-by-step explanation:

16 ounces = 1 pound

200 ounces = 1 × 200/16 = 12.5 pounds

6 0
3 years ago
BEST ANSWER GETS EXTRA POINTS
Amanda [17]

Answer:

Solution given:

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5 0
3 years ago
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Numbers like 10, 100, 1000 are called?
Y_Kistochka [10]
Those number are all powers of 10
10= 10^1
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4 years ago
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4 0
3 years ago
Consider g (x) = StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction Which statement correctly uses limits to de
Nastasia [14]

To find the end behavior of a function, we find it's limits as x approaches infinity, getting the correct option as:

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Function:

The function given is:

g(x) = \frac{4x+9}{x^6+1}

Limit as x goes to infinity:

To find the limit of a function as x goes to infinity, we consider the term with the highest exponent in the numerator and in the denominator. So

\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} \frac{4x+9}{x^6+1} = \lim_{x \rightarrow \infty} \frac{4x}{x^6} = \lim_{x \rightarrow \infty} \frac{4}{x^5} = \frac{4}{\infty^5} = 0

The graphic of the function, given at the end of this answer, corroborates the answer.

Thus, the correct option is:

As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.

For more on limits as x approaches infinity, you can check brainly.com/question/12207599.

7 0
3 years ago
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