1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
scoray [572]
2 years ago
15

Use the Change of Base Formula to evaluate log3 58. Then convert log3 58 to a logarithm in base 4. Round to the nearest thousand

th.
Mathematics
2 answers:
boyakko [2]2 years ago
6 0

Answer:

\log_358\approx 3.696

\Rightarrow \dfrac{\log_458}{\log_43}

Step-by-step explanation:

Given: \log_358

We need to re-write the log expression with base 4 using base change property of log.

Log property:

\log_ab=\dfrac{\log_cb}{\log_ca}

Evaluate:

\Rightarrow \log_358

\Rightarrow \dfrac{\log58}{\log3}

\Rightarrow \dfrac{1.763427}{0.47712}\approx 3.696

Convert with base 4:

\Rightarrow \log_358

\Rightarrow \dfrac{\log_458}{\log_43}

Natali5045456 [20]2 years ago
5 0
Hello,

log_3(58)= \dfrac{ln(58)}{ln(3)}=3,69597450... \\

log_3(58)=log_4(x)\\

 \dfrac{ln(58)}{ln(3)} = \dfrac{ln(x)}{4}==\textgreater\ x=e^{ \frac{ln(58)*ln(4)}{ln(3)}}\\

 =167,957104437222249066099...



≈167.96
You might be interested in
Baby Amelia's parents measure her height every month.
jonny [76]

The statement H(30) = H(25) + 5 means that, "when Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old"

<h3><u>Solution:</u></h3>

Given that,

Baby Amelia's parents measure her height every month

It is given that H(t) models Amelia's height (in centimeters) when she was "t" months old

Given statement is H(30) = H(25) + 5

So, we can say that H(30) = Amelia's height when she was 30 months old

H(25) = Amelia's height when she was 25 months old

So H(30) = H(25) + 5 means that,

Height of Amelia when she was 30 months old is 5 centimeter more than Amelia height when she was 25 years old

Or we can say that,

When Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old

7 0
3 years ago
How would you go about finding the area and perimeter of a composite figure?
fgiga [73]

Explanation:

The area is the sum of the areas of the non-overlapping parts. The figure is called "composite" because it is composed of figures whose area formulas you know. Decompose the figure into those, find the area of each, then sum those areas to find the area of the whole.

<u>For example</u>

If the figure consists of a rectangle and semicircle, find the areas of each of those. Then add the areas together to find the total area.

__

Likewise, the perimeter of a composite figure will be the sum of the "exposed" perimeters of the parts. (Some edges of the figures making up the composition will be internal, so do not count toward the perimeter of the composite figure.)

<u>For example</u>

If the curved edge of the semicircle of the figure described in the example above is part of the perimeter, then its length will be half the circumference of a circle. If the straight edge of the semicircle is "internal" and not a part of the perimeter, its length (the diameter of the semicircle) may need to be partially or wholly subtracted from the perimeter of the rectangle, depending on the actual arrangement of the composite figure. In other words, add up the lengths of the edges that "show."

_____

<em>Additional comments</em>

In the above, we have described how to add the areas of parts of the figure. In some cases, it can be easier to identify a larger figure, or one that is more "complete", then subtract the areas of the parts that aren't there. For example, an L-shaped figure can be decomposed into two rectangles. Or it can be decomposed into a larger rectangle covering the entire outside dimensions, from which a smaller rectangle is subtracted to leave the L-shape. Depending on how dimensions are shown, one computation or the other may be easier.

Likewise, for the purposes of computing the perimeter, lines of the figure may be rearranged in any convenient way, as long as their total length doesn't change. The L-shape just described will have a perimeter exactly equal to the perimeter of the rectangle that encloses its outside dimensions, for example. You can see this if you move the two lines forming the concave edges.

Familiarity with area formulas can help with area. For example, you know that the area of a triangle is the same as that of a rectangle half the height. Likewise, the area of a trapezoid is the area of a rectangle with the same height and a width equal to the midline of the trapezoid.

5 0
3 years ago
Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last w
hammer [34]
He bought 60 pounds last week and p stands for 60
5 0
2 years ago
4. From 5 faculty members, a committee of 2 is to be formed. In how many ways can this be done?
ohaa [14]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP!!!!! (Question 74)
lord [1]
SL=2 \pi r h

SL=2*3.14*2*4

SL=16*3.14

SL=15.24 in² or ³
3 0
3 years ago
Other questions:
  • 10. A parasailor is attached to a boat with a rope 80 feet long. The angle of elevation
    11·1 answer
  • Please help me answer. Thanks in advance.
    12·1 answer
  • Pam and her brother both open savings accounts. Each begin with a balance of zero dollars.For every two dollars that pam saves i
    10·1 answer
  • Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
    8·1 answer
  • My answer was B is less than or equal to 10, but it was wrong. So what does B equal??
    15·1 answer
  • What is the value of x?
    7·1 answer
  • Someone please help me
    6·1 answer
  • ?????????????????????
    10·1 answer
  • DELL 5+5<br>what's a girl Raymond ​
    14·1 answer
  • How are algebraic properties applied in the steps to solving equations?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!