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Gnoma [55]
3 years ago
7

Solve each exponential equation. 6^x+2 = 12

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

Answer:

The solution is x = 1/log(6)

Step-by-step explanation:

Hi there!

First, let´s write the equation:

6ˣ + 2 = 12

subtract 2 at both sides of the equation

6ˣ = 10

apply log at both sides of the equation

log(6ˣ) = log(10)       log(10) = 1

Apply logarithm property: log(xᵃ) = a log(x)

x log(6) = 1

Divide both sides by log(6)

x = 1/log(6)

The solution is x = 1/log(6)

Have a nice day!

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The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b).<br> What are the values of a and b?
victus00 [196]

The values of a and b are a = \frac{3}{2} and b = 3, respectively.

In this question we need to solve the linear equation for each point, first for (x,y) = (b, 1) and later for (x,y) = (a, b).

If we know that (x,y) = (b, 1), then the value of b is:

6 = 30-8\cdot b

8\cdot b = 24

b = 3

If we know that (x,y) = (a, b) and b = 3, then the value of a is:

6\cdot b = 30 - 8\cdot a

18 = 30-8\cdot a

12 = 8\cdot a

a = \frac{3}{2}

The values of a and b are a = \frac{3}{2} and b = 3, respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

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Randall’s family drove to the beach for vacation. Assume they drove the same speed throughout the trip. The first day, they drov
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3 years ago
A cube has a volume of 800 cubic units. the length of the edge of this cube is between which two numbers?
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3 years ago
Plz helpp FASTT
Burka [1]
Are you sure about your solves??

I think correct answer is 6,

I don't know but the standard way is in the photo:

5 0
3 years ago
Read 2 more answers
they hold an anual pass that cost $40.00. each canoe rental costs $26.00 and each bicycle rental cost $15.00. use an algebraic e
postnew [5]

Answer:

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Step-by-step explanation:

Let c = number of canoe rentals

and b = number of bicycle rentals. Then

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Canoe rentals = 26.00c

Bicycle rentals = 15.00b

        Total cost = 40.00 + 26.00c + 15.00b

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