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Temka [501]
3 years ago
6

Describe how to solve an exponential equation with unlike bases.

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
7 0

Answer:

How do you calculate exponents with different bases?

Image result for how to solve an exponential equation with unlike bases.

When multiplying exponents with different bases and the same powers, the bases are multiplied first. This can be written mathematically as an × bn = (a × b)n. When the exponents with different bases and different powers are multiplied, each exponent is evaluated separately and then multiplied.

hope it helped it !!

kari74 [83]3 years ago
4 0

Answer:

Mark me as brainlist

Step-by-step explanation:

Use logarithms to solve exponential equations whose terms cannot be rewritten with the same base

Solve exponential equations of the form    

y

=

A

e

k

t

 for t

Recognize when there may be extraneous solutions or no solutions for exponential equations

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The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m​
kipiarov [429]

Answer:

900\times 3^m = 100

Step-by-step explanation:

The number of visitors is modeled by the expression 900\times 3^m

Where m is the number of months after the number of visitors was measured.

We need to evaluate the above expression for m = -2.

So,

900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100

At m = -2, the value of the above expression is equal to 100.

5 0
3 years ago
A given line has the equation 10x 2y=−2 . what is the equation, in slope-intercept form, of the line that is parallel to the giv
aivan3 [116]

The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1

<h3>Equation of a line</h3>

A line is the distance between two points

Given the equation of a line expressed as 10x + 2y = -2. Determine the slope

2y = -10x -2

y = -5x - 1

Slope of the line is -5

The equation of a line in point-slope form is y - y1 = m(x-x1)

Substitute the point and the slope of the parallel line

y - 12 = -5(x  - 0)
y - 12 = -5x
y = -5x + 12

Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12

Learn more on equation of a line  here: brainly.com/question/13763238

#SPJ4

3 0
2 years ago
The time to assemble the first unit on a production line is 8 hours. The learning rate is 0.81. Approximately how long will it t
pochemuha

Answer:

4.428 hours

Step-by-step explanation:

If the learning rate is 0.81, the slope of the learning curve is:

b=\frac{ln(0.81)}{ln(2)} \\b=-0.304

The time it takes to produce the n-th unit is:

T_n=T_1*n^b

If T1 = 8 hours, the time required to produce the seventh unit will be:

T_n=8*7^{-0.304}\\T_n=4.428\ hours

It will take roughly 4.428 hours.

3 0
3 years ago
Find the 72nd term of the arithmetic sequence -27, -11, 5,
mixas84 [53]

Answer:

1109

Step-by-step explanation:

an = d (n - 1) + c

an = what you're looking for

n = term position

d = the common difference, in your case, 16

c = first term of the sequence, or -27

a₇₂ = 16(72 - 1) + -27 = 1109

5 0
3 years ago
Five times a complement of an angle exceeds twice its supplement by 9. Find the angle
kkurt [141]

Answer:

33

Step-by-step explanation:

the answer is in the above image

4 0
3 years ago
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