1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Varvara68 [4.7K]
2 years ago
12

Solve the logarithmic equation. Be sure to reject any value of log (X + 8) = log x + log 8​

Mathematics
2 answers:
iogann1982 [59]2 years ago
8 0

Answer:

x =  \frac{8}{7}

Step-by-step explanation:

log(x + 8)  =  log(x)  +  log(8)  \\ (x + 8) = 8x \\ x + 8 = 8x \\ 8 = 8x - x \\ 8 = 7x \\  \frac{8}{7} =  \frac{7x}{7}  \\ x =  \frac{8}{7}

swat322 years ago
6 0

Answer:

x = 8/7

Step-by-step explanation:

log (X + 8) = log x + log 8​

We know that log a + log b = log ab

log (X + 8) = log 8x

Raise each side to base 10

10^log (X + 8) = 10^log 8x

x+8 = 8x

Subtract x from each side​

x+8-x = 8x-x

8 = 7x

Divide by 7

8/7 = 7x/7

8/7 =x

You might be interested in
4621.60 x 9.92 with work
natka813 [3]

Answer:

need a answer

Step-by-step explanation:

7 0
3 years ago
To approach the runway, a pilot of a small plane must begin a 10 degrees descent starting from a height of 1983 feet above the g
ddd [48]
<h3>Answer:</h3>

2.2 miles

<h3>Explanation:</h3>

The mnemonic SOH CAH TOA reminds you that

... Sin = Opposite/Hypotenuse

We are given an angle (10°) and its opposite side length (1983 ft), and we are asked to find the hypotenuse (the straight-line distance from the plane to the runway).

... sin(10°) = (1983 ft)/distance

Multiplying by distance and dividing by sin(10°), we have ...

... distance = (1983 ft)/sin(10°) ≈ 11419.6 ft

We want to express this in miles, so we have ...

... 11419.6 ft = (m mi)×(5280 ft/mi)

... (11419.6 ft)/(5280 ft/mi) = m mi ≈ 2.163 mi

Rounding to tenths, the distance is ...

2.2 miles

_____

<em>Comment on the question</em>

The distance from the plane to the airport is different than the horizontal distance from the airport at which the descent must start. The latter distance is the "adjacent" leg of the triangle, so must be found using the tangent function. Rounded to tenths, it is 2.1 miles.

8 0
3 years ago
What are the coordinates of point f?<br> A) (7,5)<br> B) (7,-5)<br> C) (-5,7)<br> D) (5,-7)
aliina [53]
Ahh, point F.  I know where point F is.  Its right over there on the graph.

No, im kidding.

Please provide a graph
5 0
2 years ago
. One-fifth of the plants in a garden are grape tomato plants. Two-ninths of the plants in the garden are cherry tomato plants.
vodomira [7]

Answer:52

Step-by-step explanation:

Given

one-fifth of the plants in a garden are grape tomato plant

two-ninth of the plants in the garden are cherry tomato plants

Also there are 18 grape tomato and 20 cherry tomato plants.

Let Total plants be x

Then Grape tomato plants =\frac{x}{5}=18

x=90

thus there are total of 90 plants

also grape tomato+cherry tomato=18+20=38

Thus there are 90-38=52 remaining plants.

6 0
3 years ago
HELP ASAP. <br><br> I’m so confused can someone tell me what to do on this? I’ll mark brainliest
DENIUS [597]

9514 1404 393

Answer:

  • 52°: angles 4, 13, 18
  • 128°: angles 1, 3, 14, 17
  • 44°: angles 5, 12, 15
  • 136°: angles 2, 6, 11, 16
  • 84°: angles 7, 10
  • 96°: angles 8, 9

Step-by-step explanation:

Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.

Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.

Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.

In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.

In summary:

  • 52°: angles 4, 13, 18
  • 128°: angles 1, 3, 14, 17
  • 44°: angles 5, 12, 15
  • 136°: angles 2, 6, 11, 16
  • 84°: angles 7, 10
  • 96°: angles 8, 9
6 0
2 years ago
Other questions:
  • Last year, there were 120 scholars in the school band. This year, there are 150. What was the percent charge un membership,?
    5·1 answer
  • Can someone help plz plz
    8·2 answers
  • 9+8=17 what number sentence shows the commutative property of addition
    11·2 answers
  • Hue is arranging chairs. She can form 6 rows of a given length with 1 chair left over, or 9 rows of that same length if she gets
    13·1 answer
  • HELP I NEED HELP ASAP
    6·1 answer
  • I NEED THE ANSWER ASAP.An architect is planning a triangular pool with the perimeter of 99 feet.If two sides measure 20 and 42,
    8·1 answer
  • For any three dimensional figure the sum of the areas of all its faces is its
    11·1 answer
  • There are 30 Kids in Mr.Morenos history class.
    7·1 answer
  • How do you graph 3x= -135
    15·2 answers
  • What is the distance between the points ‒3 and 19 on a number line?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!