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3 years ago

What is the solution of log4(2x-6)=2

Mathematics

1 answer:

Flauer [41]3 years ago

3 0

Answer: $x=11$

Step-by-step explanation:

Remembert that, by definition:

$log_b(x)=y$ → $b^y=x$

Then, you can rewrite $log_4(2x-6)=2$ in exponential form:

$4^2=2x-6$

Now you can solve for the variable "x":

Add 6 to both sides of the equation:

$4^2+6=2x-6+6$

$22=2x$

And finally you must divide both sides of the equation by 2, then:

$\frac{22}{2}=\frac{2x}{2}\\\\x=11$

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Fernando paid 2.80 for potatoes .Potatoes cost 0.25 per pound . How many pounds of potatoes did Fernando buy?

Marta_Voda [28]

Fernando bought 11.2 pounds of potatoes.

8 0

2 years ago

Read 2 more answers

The answer to all 11.

madam [21]

Answer:

The rate of the current is 2 miles per hour.

Step-by-step explanation:

Let us assume that the rate of the river is v miles per hour.

The speed of the boat is 12 miles per hour.

Let us assume also that the boat can go 21 miles in t hours in the downstream and 15 miles upstream at the same time i.e. t hours.

So, from the condition given we can write that

$12 + v = \frac{21}{t}$ ......... (1), and

$12-v =\frac{15}{t}$ ......... (2)

Now, adding those two equations we get

$24 = \frac{21}{t} +\frac{15}{t} = \frac{36}{t}$

⇒ $t = \frac{3}{2}$ hours

Now, from equation (1), we get,

$12 + v = \frac{21}{\frac{3}{2} } =14$

⇒ v = 2 miles per hour

Therefore, the rate of the current is 2 miles per hour. (Answer)

8 0

2 years ago

Jim is clearing out trees and planting grass to enlarge his backyard. He plans to double both the width and the length of his cu

Ierofanga [76]

U should know the area of rectangle is w*l
if we increase it by double or times 2 its area will be
A=2w*2wl
A=4wl
area would be 4 times of original one
Now u can get the answer

4 0

3 years ago

Enter the values for m, n, and p that complete the difference:

inessss [21]

Answer:

p = 2

n = 14

m = 3

Step-by-step explanation:

In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.

We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.

We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)

So the LCD we need is the product: 2*x which we write as 2x.

Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): $\frac{7}{x} =\frac{7*2}{x*2} =\frac{14}{2x}$

Next we do the same with the second fraction, this time multiplying top and bottom by the factor "x":

$\frac{3}{2} =\frac{3x}{2x}$

Now that both fractions are written showing the same denominator , we can combine them as indicated:

$\frac{7}{x} -\frac{3}{2} =\frac{14}{2x} -\frac{3x}{2x} =\frac{14-3x}{2x}$

This expression gives as then the values for the requested coefficients.

p = 2

n = 14

m = 3

5 0

2 years ago

Read 2 more answers

35 POINTS. I need help! Please!

topjm [15]

There is no solution for the first one

if you eliminate y you get 2 equations
-13x - 13z = -25
-13x - 13x = -15

- there is no solution to theses

a23 means the element in the second row and the 3rd column

so its -5

7 0

3 years ago