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3 years ago

What's the answer to the problem

Mathematics

1 answer:

zvonat [6]3 years ago

3 0

Answer:

Any Images?

Step-by-step 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

Find the distance from the point (4,2) to the line y= −2.

riadik2000 [5.3K]

Answer:

The distance is 4.

Step-by-step explanation:

The shortest distance from the point (4,2) to the line y=-2, in this case, would be a straight line perpendicular to y=-2.

For each and every value of "x" on the line, y = -2. The shortest distance occurs at y(4) = - 2.

At this point the distance is:

$d^{2} =(4 - 4)^{2} + (2-(-2))^{2} \\d^{2} =4 ^{2}\\\\d = 4$

The distance is 4.

6 0

3 years ago

Can you help I'm confused

Brrunno [24]

Answer:

x ≤ 5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Pls help me! i will give u brainliest

Sunny_sXe [5.5K]

Answer:

1st is rational 2nd is irrational 3rd is irrational 4th is rational 5th is irrational

Step-by-step explanation:

7 0

3 years ago

CONSTRUCTION You are asked to copy a segment CD, construct a segment bisector by paper folding, and label the

lilavasa [31]

The steps on the construction of a segment bisector by paper folding, and label the midpoint M is given below.

<h3>What are the steps of this construction?</h3>

1. First, one need to open a Compass so that it is said to be more than half the length of the said segment.

2. Without altering it, with the aid of the compass, do draw an art above and also below the said line segment from one of the segment endpoints.

3. Also without altering it and with use the compass, do draw another pair of arts from the other and points. One arc will be seen above the segment and the other or the second arc will be seen below.

4. Then do draw the point of intersection that is said to exist between the pair of arts below the line segment and also in-between the pair of arts as seen below the line segment

5. Lastly, do make use of a straight edge to link the intersection points between the both pair of arts.

Learn more about segment bisector from

brainly.com/question/24736149

#SPJ1

5 0

2 years ago