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3 years ago

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>-12<br> O x>12<br> O x<12<br> O x<-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]<-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