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3 years ago

How to solve log and exponential equations

Mathematics

2 answers:

IceJOKER [234]3 years ago

4 0

To be honest idk I’m jus tryna get 100%

alexandr402 [8]3 years ago

4 0

Answer:

9/2

Step-by-step explanation:

logs with the same bases (base 2 in this case) can be combined. the subtraction sign means it division so can combine to

logbase2((4x+1)/(3x-4)) = 1

and bc it's log, you can think of it like 2 to the power of 1 is ((4x+1)/(3x-4))

2 =((4x+1)/(3x-4))

aka 6x-8 = 4x +1

ala 2x = 9

x = 9/2

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a court reporter is transcribing an accident report the report states that the driver was traviling 110km per hour how many mile

Vera_Pavlovna [14]

Answer:

The driver was traveling at approximately 68.2 miles per hour

Step-by-step explanation:

Recall that one km equals approximately 0.62 miles, therefore, in order to find the speed of the driver in miles per hour, we just need to convert the 110 km into miles.

if one km equals 0.62 miles, then 110 km will equal the product of 110 times 0.62 miles. That is:

110 * 0.62 = 68.2 miles

Then the speed will translate into :

110 km/h = 68.2 mi/h

8 0

3 years ago

Can anyone help ?

Flauer [41]

Answer:

a) 1 / 12

b) 1 / 4

Step-by-step explanation:

The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.

a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.

To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12

b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.

Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4

5 0

3 years ago

Mario started with a zero balance on his library account. A book he borrowed was 7 days overdue, and he was charged $0.25 per da

mixas84 [53]

Answer:

Step-by-step explanation:

If mario gains 25 cents per day and he is seven days overdue, we would do 7 days times 25 cents, the money he gains everyday, that should equal 1.75

:3 happy to help!

4 0

3 years ago

Read 2 more answers

Plz help thanks sm!!!!

Snowcat [4.5K]

n = a number

2n = twice a number

2n - 7 = seven less than twice a number

4 0

4 years ago

Find the equation of a line that passes through the points (6,7) and (8,3).

horsena [70]

Answer:

y=-2x+19

Step-by-step explanation:

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m= $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

Now we have,

m= 3-7/8-6

m=-2. Since m=-2, the equation is y=-2x+b.

To find b, think about what your (x,y) points mean:

(6,7). When x of the line is 6, y of the line must be 7.

(8,3). When x of the line is 8, y of the line must be 3.

Substitute them to the equation y=-2x+b.

You can use either (x,y) point you want..the answer will be the same:

(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.

(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.

So, the equation of the line that passes through the points

(6,7) and (8,3) is y=-2x+19.

3 0

3 years ago