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3 years ago

Using the logarithm, solve the following equation for x. 6400 = (8) (2^4x)

Mathematics

1 answer:

expeople1 [14]3 years ago

8 0

Answer:

x = 2.411

Step-by-step explanation:

6400 = (8) (2^(4x))

Divide both sides by 8 to get;

6400/8 = (2^(4x))

800 = (2^(4x))

Using logarithms, we can solve as;

Log 800 = 4xLog 2

4x = Log800/Log2

4x = 2.9031/0.3010

4x = 9.6449

x = 9.6449/4

x ≈ 2.411

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PLEASE HELP ALGEBRA 2 <br> Question is on the photo below

Sedbober [7]

Answer:

The value of f(x) - g(x) is:

f(x) - g(x) = 2x² + 6x - 4

Step-by-step explanation:

Given

f(x) = 3x² + x - 3

g(x) = x² - 5x + 1

To determine

f(x) - g(x)

Using the formula

f(x) - g(x) = 3x² + x - 3 - ( x² - 5x + 1)

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3 years ago

4x − 5y = 25<br> Make a table of values. ASAP

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Answer:

Given Below.

explanation:

$4x - 5y = 25$

$-5y = 25 - 4x$

$y = \frac{25-4x}{-5}$

$y = \frac{4x- 25}{5}$

put x values in the function in order to find y values.

0 | -5

1 | -4.2

2 | -3.4

3 | -2.6

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3 years ago

The mass of the Earth is 5.972x10^24 kg. the mass of the moon is 7.3 x 10^22kg. find the total mass, in kg, of the Earth and the

torisob [31]

Answer:

6045000000000000000000000 kg.

Step-by-step explanation:

We have been given that the mass of Earth is $5.972\times10^{24}$ kg. The mass of the Moon is $7.3\times10^{22}$ kg.

To find the total mass we will add mass of Earth and Moon.

First of all let us convert the given masses in standard form.

$5.972\times10^{24}=5972000000000000000000000$

$7.3\times10^{22}=73000000000000000000000$

$5.972\times10^{24}+7.3\times10^{22}$

$5972000000000000000000000+73000000000000000000000$

$6045000000000000000000000$

Therefore, the mass of Earth and Moon is 6045000000000000000000000 kg.

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3 years ago

During second period, Kiera completed a grammar worksheet. Of the 90 questions, she got 70% right. How many questions did Kiera

ANEK [815]

Answer:

we conclude that Kiera got the right 63 questions.

Step-by-step explanation:

Total questions = 90

The percentage of correct question = 70%

Using the formula

The number of correct questions = 70% of 90

= [70/100] × 90

= 0.7 × 90

= 63

Therefore, we conclude that Kiera got the right 63 questions.

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