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2 years ago

Which equation can you solve to find the potential solutions to the equation log2x + log2(x – 6) = 4?

Mathematics

2 answers:

aliya0001 [1]2 years ago

6 0

the answer is option 3: x^2-6x-16=0

riadik2000 [5.3K]2 years ago

3 0

If the question is

$log_2(x)+log_2(x-6)=4$

which can be simplified to

$log_2(x(x-6))=4$

By the definition of log, $log_a(x)=y$ means $a^y=x$

2^4=x(x-6)=x^2-6x

Simplify and solve for x

x^2-6x-16=0

(x+2)(x-8)=0

x=-2 or x=8

Since no answer choices are given, one of the equations in the above solution should appear in the answer choices.

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Can you please show work please

-BARSIC- [3]

Answer:

1) y = 3x+5

2) y = $\frac{1}{2}x-4$

3) y = -x + 0

4) y = $-\frac{5}{3}x+8$

5) y = $\frac{3}{5} x - 7$

Step-by-step explanation:

y = mx+b

In slope-intercept form, these are important to know:

- y and x should stay as variables

- m = slope of the line

- b = y intercept

Using the facts above⬆, we can solve these problems

Remember: Substitute m and b using the given information

1) y = 3x+5

2) y = $\frac{1}{2}x-4$

3) y = -x + 0

4) y = $-\frac{5}{3}x+8$

5) y = $\frac{3}{5} x - 7$

Hope this helps :)

Have a great day!

3 0

2 years ago

1 part sugar and 4 parts of water she uses 3/4 cup of sugar

PolarNik [594]

1 part sugar : 4 parts water

3/4 cup of sugar.

1:4 = 3/4 : x
x = 4 * 3/4
x = 12/4

x = 3 part water

5 0

3 years ago

A 18 gram sample of a substance that's used to detect explosives has a k value of0.125

mr Goodwill [35]

T1/2 = ln 2 / k = ln 2 / 0.125 = <span>5.5</span>

4 0

2 years ago

PLEASE MAKE SURE HELP ME!

bulgar [2K]

Answer:

1. The first problem is wrong, it should be 0.5(3(15) + 2(20)) because the parentheses make sure that every purchased item is being divided by 2 (multiplying by 0.5 is the same as dividing by 2)

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3. I cannot read your answers in the "Why or Why Not" column in the third problem, but the answers you gave in the "Evaluate" and "Does It Work?" columns are all correct.

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3 years ago

Find the volume of the following

Nadusha1986 [10]

Given:

A prism with right triangular base.

Base of triangle = 6 ft

Height of triangle = 8 ft

Height of prism = 7

To find:

The volume of the given prism.

Solution: