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3 years ago

Topic: Solving Exponential and Logarithmic Equations

Mathematics

1 answer:

valentina_108 [34]3 years ago

6 0

Answer:

$x = 3.40$

Step-by-step explanation:

Given

$3^x = 42$

Required

Find x

$3^x = 42$

Take Log of both sides

$Log\ 3^x = Log\ 42$

Apply log rule

$xLog\ 3 = Log\ 42$

Make x the subject

$x = \frac{Log\ 42}{Log\ 3}$

$x = \frac{1.6232}{0.4771}$

$x = 3.4022$

$x = 3.40$ --- approximated

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Brilliant_brown [7]

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Step-by-step explanation:

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3 years ago

Which of the following is the most profitable investment for a candy shop that earns $1 revenue per pound of candy? (5 points) G

rewona [7]

Then the most profitable investment is the first machine (third option) because for each dollar, it produces 2 pounds of candy.

<h3>Which of the following is the most profitable investment?</h3>

The first option is a worker that costs $10 per hour and produces 8lb, then this worker gives:

8lb/$10= 0.8 pounds per dollar.

The second worker costs $12 per hour, and produces 16lb per hour, so this worker gives:

16lb/$12 = 1.33 pounds per dollar.

The third option is a machine that cost $5 per hour and produces 10lb per hour, then:

10lb/$5 = 2 pound per dollar.

The last option costs $8 per hour, and produces 14 pounds per hour, then:

14lb/$8 = 1.75 pounds per dollar.

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2 years ago

The vertex of this parabola is at (3,5). When the Y value is 6X value is negative one what is the coefficient of the squared ter

iren2701 [21]

We know that equation of a parabola is given by :-

y = a(x-h)² + k

Where (h,k) is the vertex of parabola and (x,y) is any point on its curve.

Given that vertex of parabola is (3,5) and one point (x,y) is (6,-1).

We can plug the given information in the equation of parabola and solve it for value of 'a' :-

-1 = a(6 - 3)² + 5

-1 = a(3)² + 5

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a = $\frac{-2}{3}$ is the final answer.

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3 years ago

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DiKsa [7]

Hello there.

Which of the following shows a number as a product of prime numbers in exponential form? Choose all that apply.

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3 years ago

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NemiM [27]

One method to see it's a trapezoid is to find the slope of lines BC and AD.

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3 years ago