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Serggg [28]
2 years ago
9

How to slove any logarithm equation​

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
8 0

Answer:

1) Look at the equation. When looking at the problem equation, identify the base (b), exponent (y), and exponential expression (x).

Example: 5 = log4(1024)

b = 4

y = 5

x = 1024

2) Move the exponential expression to one side of the equation. Set the value of your exponential expression, x, to one side of the equal sign.

Example: 1024 = ?

3) Apply the exponent to the base. The value of your base, b, needs to be multiplied by itself by the amount of times indicated by your exponent, y.

Example: 4 * 4 * 4 * 4 * 4 = ?

This could also be written as: 45

4) Rewrite your final answer. You should be able to rewrite the logarithm as an exponential expression now. Verify that your answer is correct by making sure that both sides of the equation are equal.

Example: 45 = 1024

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During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints
AnnyKZ [126]

The given data can be tabulated as:

number of days,x                            length of tunnel (ft), y

0                                                                              225

5                                                                              350

20                                                                           725

30                                                                           975

55                                                                           1,600

 

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

 

Finding for slope (0, 225) and (5, 350):

m = (350 – 225) / (5 – 0) = 25

 

Finding for slope (0, 225) and (20, 725):

m = (725 – 225) / (20 – 0) = 25

 

Therefore the equation is linear in the form of:

y = mx + b

where b is the value of y at x = 0, so b = 225

 

The complete equation is:

y = 25x + 225

 

At x = 86 days

y = 25(86) + 225

y = 2,375 ft

 

Therefore the length of the completed tunnel is 2,375 feet.

5 0
3 years ago
a red hot ar balloon is 100 feet off the ground and is rising at a rate of 8 feet per second. a green hot air balloon is 160 fee
zhenek [66]

Answer:

it would be a fraction of a sec

Step-by-step explanation:

see if you just simply took out a calculator you would see its not possible unless you knew what the balloon is descending at during the fraction of the seconds

7 0
3 years ago
Consider the function y = cos (x + pi/6). Which of the following is true?
max2010maxim [7]
The answer would be A. There is a phase shift to the left. Because you are adding pi/6.
7 0
2 years ago
Read 2 more answers
Can somebody shade this for me? Thank you!
mylen [45]

Answer:

Hope this below ss is right:

8 0
2 years ago
Find the value of x.
hichkok12 [17]
<h3>Angles sum up to:</h3><h3>( n - 2 ) × 180 = ( 5 - 2 ) × 180 = 3 × 180 = 540</h3>

x + 4x + 4x + 135 + 135 = 540

9x + 270 = 540

9x = 540 - 270 \\ 9x = 270

x =  \frac{270}{9}  = 30

8 0
1 year ago
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