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
Lubov Fominskaja [6]
3 years ago
14

Solve the following expressions using logarithm and Antilogarithm .

Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

  1. 0.01688496
  2. 0.3449537
  3. 0.05002308
  4. 2.0375623
  5. 0.4162862

Step-by-step explanation:

<u>Some formulas to help</u>

  • <em>log ab = log a + log b</em>
  • <em>log a/b = log a - log b</em>
  • <em>log a^b = b log a</em>
  • <em>antilog (log a) = a, antilog is the inverse of log</em>
  • <em>get values of log and antilog by using calculator or online calculator ( I used online calculator for this problem)</em>
  • <em>round numbers as required, I left them as is</em>

1. Let the number be x, solving to show the method

  • √0.0002851 = x
  • log √0.0002851 = log x
  • 1/2 log 0.0002851 = log x
  • 1/2(-3.545) = log x
  • log x = -1.7725
  • antilog (log x) = antilog (-1.7725)
  • x = 0.01688496

2. Short of the above method, will apply to this and following

  • \sqrt[7]{0.0005812} =
  • antilog (1/7 log (0.0005812)) =
  • antilog (1/7(-3.23567439437)) =
  • antilog (-0.46223919919) =
  • 0.3449537

3. .........................................

  • 2.714^3 =
  • antilog (log 2.714^3) =
  • antilog (3 log 2.714) =
  • antilog (3*0.43360984332) =
  • antilog (1.30082952996) =
  • 0.05002308

4..........................................

  • 35.12^(1/5) =
  • antilog (1/5 log (35.12)) =
  • antilog (1/5*1.54555450723)
  • antilog (0.30911090144) =
  • 2.0375623

5. .........................................

  • (0.07214)^(1/3) =
  • antilog ( 1/3 log (0.07214)) =
  • antilog (1/3*(-1.14182386202 )) =
  • antilog ( --0.380607954 )=
  • 0.4162862

Let me know if anything is not clear. Hope it helps.

You might be interested in
A new dirt bike valued at $9000 loses 18 percent of its value each year write an exponential function that models the value of t
STatiana [176]

Answer:

717

Step-by-step explanation:

5 0
2 years ago
NEED HELP PLS
AnnZ [28]

Answer:

First

Step-by-step explanation:

The first person in the line will always have an odd position, not an even one.  They will be the only one left.

6 0
3 years ago
2 = (-x) Help I'm a not so bright blonde!
makvit [3.9K]
If you need to solve this equation you can multiply the both side of equation on (-1). Like that
<span>2 = (-x);
-1·2 = (-1)·(-x)
if you multiply negative and </span><span>positive </span>you'll have negative,
if you multiply negative and <span>negative you'll have </span><span><span>positive. So
</span> 
</span>-2 = x.  or
x = -2.
The answer is -2.
5 0
3 years ago
Oumou is buying tile for her kitchen. The area of Oumou’s rectangular kitchen, in square feet, can be found by using the express
Jobisdone [24]

The answer is: 15m + 20n

Hope this helped

4 0
3 years ago
HELP PLS Last year 15 students earned an A in math class. If I had 128 students, what percent of students did NOT earn an A?
BabaBlast [244]

Answer:

88%

Step-by-step explanation:

128-15=113

113/128=.882

88%

8 0
2 years ago
Other questions:
  • How is the graph of log(x+3) translated from the graph of log x
    9·2 answers
  • Find x. A. 44√3 B. 33 C. 33√2 D. 11√3
    7·1 answer
  • How can i make 6/36 into a mixed number
    8·1 answer
  • Simplify the radical expression square root of x^8y^18
    10·1 answer
  • One-Step Equations<br> Solve each equation<br> 1) 26=8+v
    9·1 answer
  • Pls answer! this problem
    12·1 answer
  • Can someone help me? look at the picture
    7·1 answer
  • 6.2 poiThe width of a rectangle is 4 less than half thelength. If l represents the length, which equationcould be used to find t
    10·1 answer
  • Can I find a tutor to help me bro ?
    7·1 answer
  • Hold practice this with a piano in 2030 minute in 5 weeks at what rate did she practice in minutes per dayhold practice this wit
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!