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masha68 [24]
3 years ago
5

4. The black triangle was transformed to

Mathematics
1 answer:
harina [27]3 years ago
8 0
The answer is B

Explanation:
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Solve 4^x-5 = 6 for x using the change of base formula log base b of y equals log y over log b
Ronch [10]

Answer:

4^x-5=6 gives the solution x=\frac{\log(11)}{\log(4)}.

4^{x-5}=6 gives the solution x=\frac{\log(6)}{\log(4)}+5.

Step-by-step explanation:

I will solve both interpretations.

If we assume the equation is 4^{x}-5=6, then the following is the process:

4^x-5=6

Add 5 on both sides:

4^x=6+5

Simplify:

4^x=11

Now write an equivalent logarithm form:

\log_4(11)=x

x=\log_4(11)

Now using the change of base:

x=\frac{\log(11)}{\log(4)}.

If we assume the equation is 4^{x-5}=6, then we use the following process:

4^{x-5}=6

Write an equivalent logarithm form:

\log_4(6)=x-5

x-5=\log_4(6)

Add 5 on both sides:

x=\log_4(6)+5

Use change of base formula:

x=\frac{\log(6)}{\log(4)}+5

6 0
3 years ago
What is the solution to -3x+23-7?<br> O x&gt;-12<br> O x&gt;12<br> O x&lt;12<br> O x&lt;-12
netineya [11]
It’s the second one x>_12 because it’s a closed circle on the number line and it’s going right
6 0
3 years ago
17.Which of the following is the equation of a line parallel to y-axis?
AlexFokin [52]

Answer:

I think that the answer is a

7 0
3 years ago
What is the solution set of [1/x-2]&lt;-2
slavikrds [6]

Step-by-step explanation:

1 \div (x - 2) + 2  < 0

(1 + 2x - 4) \div ( x- 2) < 0

(2x - 3)  \div (x - 2) < 0

Hence

You have to put:

2x  - 3 > 0

And

x - 2 > 0

Which results in:

x > 3 \div 2

And

x > 2

The solution is:

3 \div 2 < x < 2

7 0
3 years ago
Hi algebra is hard please help: The expression (8x+ 4) inches represents the perimeter of a rectangle whose width is (3x − 4) in
Bess [88]

Answer:

Length = 4 inches

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

If x = 2

Perimeter = 8x - 4

= 8(2) - 4

= 16 - 4

= 12 inches

Width = 3x - 4

= 3(2) - 4

= 6 - 4

= 2 inches

Perimeter of a rectangle = 2(length + width)

12 = 2(length + 2)

12 = 2length + 4

12 - 4 = 2 length

8 = 2 length

Length = 8/2

Length = 4 inches

8 0
3 years ago
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