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solniwko [45]
3 years ago
6

Which exponential equation is equivalent to the logarithmic equation below? c = ln 4

Mathematics
2 answers:
JulsSmile [24]3 years ago
7 0
Recall that ln() is just a shorthand for logₑ or the natual logarithm.

\bf \textit{exponential form of a logarithm}
\\\\
log_a  b=y \implies   a^y=  b\qquad\qquad 
%  exponential notation 2nd form
a^y=  b\implies log_a  b=y \\\\
-------------------------------\\\\
c=ln(4)\implies c=log_e(4)\implies e^c=4

kobusy [5.1K]3 years ago
3 0
<h3><u>Answer:</u></h3>

<em>Hence, the exponential equation equivalent to logarithmic function c=\log 4 is:</em>

e^c=4

<h3><u>Step-by-step explanation:</u></h3>

We are given a exponential function as:

c=\log 4

We are asked to find the exponential function which is equivalent to this given logarithmic function.

We know that exponential function and logarithmic function are inverse of each other.

If we are given a logarithmic function as:

y=\log _ax

Then it's equivalent exponential function is given as:

x=a^y

with the condition:

a>0 and a≠1.

Hence, the exponential equation equivalent to logarithmic function c=\log 4 is:

e^c=4

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GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 16 walls in 40 hours 3 walls in
soldi70 [24.7K]

The proportion that could be used to solve for the variable is \frac{16}{40}=\frac{3}{h} ; h = 7.5 ⇒ answer b

Step-by-step explanation:

A proportional relationship: one variable is always a constant value times the other, that constant is called the constant of proportionality

  • y = k x is the equation of the proportional relationship
  • We can write the proportional relationship in the form \frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k

The number of walls and the number of hours are increased or decreased together

∴ The number of walls and the number of hours are proportion

∵ 16 walls in 40 hours

∵ 3 walls in h hours

- By using the second rule above

∴ \frac{16}{40}=\frac{3}{h}

The proportion that could be used to solve for the variable is  \frac{16}{40}=\frac{3}{h}

Let us solve it to find h

∵  \frac{16}{40}=\frac{3}{h}

- By using cross multiplication

∴ 16 × h = 3 × 40

∴ 16 h = 120

- Divide both sides by 16

∴ h = 7.5

The value of h is 7.5 hours

Learn more:

You can learn more about the proportion in brainly.com/question/10708697

#LearnwithBrainly

4 0
3 years ago
A sample of marble has a volume of 6 cm3 and a density of 2.76 g/cm3. What is its mass?
Alenkasestr [34]

To solve for the mass of a substance is to simply get the product of volume and density, that is:

mass = density * volume

 

So calculating for mass:

mass = (2.76 g / cm^3) * 6 cm^3

<span>mass = 16.56 g</span>

3 0
3 years ago
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Enrollment at Roosevelt Middle School is being reviewed by the school staff. The table gives the numbers of boys and girls in gr
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Grades 6 and 8 have proportional ratio
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3 years ago
The graph of which function is decreasing over the interval (–4, ∞)? f(x) = (x + 4)2 + 4 f(x) = –(x + 4)2 + 4 f(x) = (x – 4)2 –
kow [346]

Your post would be clearer if you'd please put each function on its own line:


f(x) = (x + 4)2 + 4

f(x) = –(x + 4)2 + 4

f(x) = (x – 4)2 – 4

f(x) = –(x – 4)2 – 4


Also, use "^2" to denote "squaring." x2 has no meaning.


f(x) = (x + 4)^2 + 4 has a parabolic graph with vertex (-4,4). It increases steadily once x is greater than -4. Reject this choice.


f(x) = –(x + 4)^2 + 4 has a parab. graph with vertex (-4,4) also. It decreases steadily once x is greaster than -4. This is the answer.


Analyze the other 2 possible answers in the same way, please.

9 0
3 years ago
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Please help asap heeeeeeeeeeelp
timama [110]

the answer is the first choice

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