Questions on Algebra: Logarithm answered by real tutors!

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Tutors Answer Your Questions about logarithm (FREE)


Question 73424: Using a calculator, find log 1000 where log means to the base of 10. How do I solve this?


Click here to see answer by bucky(1732) About Me 

Question 73437: How do you find the log of a number to any base, we can use a conversion formula
log b^a = log a
______
log b
Using this formaul, how do I find log 2 1000. Round to the hundredth's place.

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Question 73581: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as it did centuries ago. If this is true, the amount of Carbon 14 absorbed by a tree that grew several centuries ago should be the same as the amount of Carbon 14 absorbed by a tree growing today. A piece of ancient charcoal contains only 15% as much radioactive carbon as a piece of modern charcoal. How long ago was the tree burned to make the ancient charcoal if the half-life of Carbon 14 is 5715 years?
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Question 73838: Help me please.
Solve log (x + 11) – log x = 3.
thank you

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Question 73865: 5) Logarithms:
a) Using a calculator, find log 10000 where log means log to the base of 10.
Answer:



b) Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown below:




Using this formula, find Log(base 2) 10000. Round your answer to the hundredth's place.
Answer:
Show work in this space



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Question 73487This question is from textbook college algebra
: The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear.
I am needing:
The formula for measuring sound.
Pick a specific sound, give the decibels of the sound, and explain what this measurement means.
This question is from textbook college algebra

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Question 73956: what happens to the physical units of a quantity like 56 kJ/mol, when you take the logarithm of the quantity?
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Question 73935: 5) Logarithms:
a) Using a calculator, find log 10000 where log means log to the base of 10.
Answer:



b) Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown here:
log b a=log a/ log b

Using this formula, find log 2 10000 . Round your answer to the hundredth's place.
Answer:
Show work in this space

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Question 74190: solve equation for x=log11 1331
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Question 74179: Please explain why the number 1 cannot be the base of a logarithmic function. Thank you.
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Question 74178: Please explain why log base2 13 is between 3 and 4. Thank you.
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Question 74363This question is from textbook Demana Waits Foley Kennedy Precalculus
: log7X
The exercise asks, write the espression using only natural logarithms. The other problems I worked X was given a value. What is X in this problem.
This question is from textbook Demana Waits Foley Kennedy Precalculus

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Question 74352: I need to evaluate the following expressions:
log of base 5 (0.008)

and
log of base 64 sqrt(4)

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Question 74383: Please help..
Solve the equation:
4^2x+1 = 2^3x+6

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Question 74521This question is from textbook
: This question is from textbook

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Question 74481: hi.please help me with this problem..i can't find in any of my information on this hand out about antilog..
the question is
antilog 2.1784=_______
i figured 150.8 but i am really not sure how i got that..thanks for any help.

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Question 74884This question is from textbook Precalculus- Mathematics for Calculus
:
This question is from textbook Precalculus- Mathematics for Calculus

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Question 75293: log(x+3)=1-logx
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Question 75576: Between what two integers does the solution of 5^x=67 lie? Please explain your answer. Thank you.
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Question 75578: Please explain why log base a of 5 = 5. Thank you.
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Question 75577: Between what two integers does the solution of log base 7 of x= 4.98 lie? Please explain. Thank you.
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Question 75575: Please explain how the graph of y=log base 2 of x/7 can be obtained from the graph of y=log base 2 of x. Thank you.
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Question 75498: The relationship between a telescope's magnitude and the diameter of the telescopes lens can be modeled by M=5logD=2 where M is the magnitude and D is the diameter(in milimeters) of the lens. If a telescope can reveal stars with a magnitude of 12, what is the diameter of the lens.
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Question 75795: What does f(x)=-3x-2 look like on a graph.
What does f(x)=-3x-2 look like on a graph.
.

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Question 75791: Can you show me how to graph y=log2x? The 2 should be subscripted. Can you show me how to plug in points and graph?
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Question 75928: I am trying to solve the following equation:
log_5 x/125 = log_7(49x^3)
This is what I have tried...where am I going wrong?
log_5 (x) - log_5 (5^3) = log_7(7^2) + log_7 (x^3)
log_5 (x) - 3 = 2 + 3 log_7 (x)
-5 = x(3 log_7 - log_5)

Please help....when I now divide...I get x to be undefined?
Thank you

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Question 75947: Please write the algebraic equation which can be used to find the exact solution of
log base 5^(x-4) + log base 5^(x+1)=3. Thank you.

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Question 75946: Without solving the inequality, what are the restrictions of x if log base 2^(x-1) - log base 2^(x+1) > 9? Please explain. Thank you.
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Question 75948: Please explain how the graph of y=log base 3^(x+4) can be obtained from the graph of y=log base 3^x. Thank you.
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Question 75944: Please explain how the graph of y=(1/2)^x + 1 can be obtained from the graph
y=2^x. Thank you.

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Question 75993: I have been asked to "Show that if p is an odd number, then 4^3p + 1 is divisible by 5. (It is actually divisible by 65.)
)
Where do I start?

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Question 76388: you deposit $2000 in an account that pays 2% annual interest compounded quarterly. How long will it take for the balance to reach $2400?
I have having trouble completing this problem, please help with the steps.
Tx, H

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Question 76388: you deposit $2000 in an account that pays 2% annual interest compounded quarterly. How long will it take for the balance to reach $2400?
I have having trouble completing this problem, please help with the steps.
Tx, H

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Question 76391: what is the solution of 1+3logx=logx+logxto the 3rd power
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Question 76391: what is the solution of 1+3logx=logx+logxto the 3rd power
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Question 76445: HELP, HELP!!!!!! Solve each equation. round to the nearest 3 places: 1) logx 64 = -3 2) 8^6x+3 = 4 3) 5^x = 3^x+2 4)e^1-2x = 4
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Question 76841: 4log(x)-6=0
4log(x)=6

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Question 77058: Let n =log p. Rewrite the followinf expression in terms of n and simplify. Give the numbers in results correct to two decimal places.
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Question 77052: Use the factor theorem to show that if 2^p - 1, where p does not equal 3, is a prime number, then p is neither divisible by 4 nor divisible by 3. (Alternatively, prove that if p is divisible by 4 or 3, then 2^p - 1 is divisible by some number other than positive/negative itself or positive/negative 1.)
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Question 77097: Find the solution of the exponential equation, correct to four decimal places.
e^-4x=6

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Question 77117: Solver for x
lnx=1+ln(x-5)




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Question 77329: If Log of 32.5_to the base 10 is 1.5118834 than the number whose log to the
same base is 3.5118834 is
a) 0.00325
b) 0.000325
c) 0.0000325
d) none

Click here to see answer by stanbon(26252) About Me 

Question 77545:
Logarithms:
a) Using a calculator, find log 1000 where log means log to the base of 10.



b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:

Using this formula, find . Round your answer to the hundredth's place.


Click here to see answer by stanbon(26252) About Me 

Question 77568: find the nominal interest rate if a bank advertises that the effective interest rate on an account compounded continiously is 3.67%
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Question 77567: estimate the doubling time of this function:
p= 2.1(1.0475)^ t where t is in years

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