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3 years ago

Log(x+6)-log(x-3)=1 I need to show work, please show me how

Mathematics

2 answers:

Illusion [34]3 years ago

8 0

Answer:

x = 4.

Step-by-step explanation:

log(x + 6)- log(x - 3) = 1

Using the law log a - log b = log a/b:

log (x + 6)/ (x - 3) = 1

Removing logs:

(x + 6)/ (x - 3) = 10

x+ 6 = 10x - 30

9x = 36

x = 4 (answer).

IgorC [24]3 years ago

4 0

Answer:

Step-by-step explanation

$log (x+6) - log (x-3) = 1 \\log \frac {x+6}{x-3} = log \ e\\x+6 = e(x-3)\\(1-e)x = -(e+3)\\x=\frac{e+3}{e-1}$

Step 1: on LHS the difference of two logs, is equal of the log of the division, on RHS, 1 is the log of the base, whatever the base is.

Rest is a 1st grade equation, isolate x, divide.

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4 0

3 years ago

One of two complementary angles measures 30 degrees more than three times the other. Find each angle.

Leviafan [203]

The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

$x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15$

The two complementary angles are:

95° and 15°

Keywords: Angles, triangles

Learn more about angles at:

#LearnwithBrainly

7 0

3 years ago

Does anyone know the answer ?!?

IrinaK [193]

Answer:

40/100 = .4 = 40%

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A bouncy ball is dropped such that the height of its first bounce is 5.5 feet and each successive bounce is 64% of the previous

ahrayia [7]

Answer:

0.4 ft

Step-by-step explanation:

It can be convenient to let a spreadsheet compute the values for you. Here, we have written an explicit formula for the height of the n-th bounce:

h = 5.5×0.64^(n-1)

We have written the formula this way because we are given the height of the first bounce, not the starting height. Each bounce multiplies the height by a factor of 0.64. Then the 7th bounce will have a height of ...

h = 5.5×0.64^6 ≈ 0.378 ≈ 0.4 . . . . feet

6 0

3 years ago

The density of oxygen is 0.001429 grams per cubic centimeter. How is this number written in

Anika [276]

We have been given that the density of oxygen is 0.001429 grams per cubic centimeter. We are asked to write the given number in scientific notation.

To convert a number into scientific notation, we write the given number as product of two numbers. One factor is a number between 1 and 10, while the 2nd factor is power of 10.

When a decimal is to the left of given number, then we need to move the decimal to right such that the number gets between 1 and 10. Then, we multiply the number by negative power of 10 that many times, we moved the decimal to right.

We can see that decimal is to left of our number. To place decimal after 1, we have to multiply 10 to 3 times. To keep the value of number same we will multiply the same negative power (negative 3).

$0.001429\times 10^3\times 10^{-3}$

$(0.001429\times 10^3)\times 10^{-3}$

$(1.429)\times 10^{-3}$

$1.429\times 10^{-3}$

Therefore, the number 0.001429 will be $1.429\times 10^{-3}$ in scientific notation.

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3 years ago