Questions on Algebra: Logarithm answered by real tutors!

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Algebra: Logarithm

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Question 110929: solve exactly
log(x+4)-log(x-3)=log 8
Click here to see answer by MathLover1(1183)

Question 111058: Solve 2ln(-x) = 7
Click here to see answer by stanbon(26252)

Question 111060: Solve lnx= 3+ln(x-3)
Click here to see answer by stanbon(26252)

Question 111062: Solve ln(x-2)+ ln(x+1)= 2lnx
Click here to see answer by HyperBrain(694)

Question 111053: Solve the logarithm. e^x=1/e
Click here to see answer by stanbon(26252)

Question 111057: Solve e^(x^2-1) = 6
Click here to see answer by HyperBrain(694)

Question 111056: Solve 4·6^x = 3^x+2
Click here to see answer by HyperBrain(694)

Question 111114: Solve for x:
log10 7 = log10x - log10 2
Click here to see answer by Fombitz(2113)

Question 111113: Write as the sum or difference of single logarithms of x, y, and z:
log8 {(3x^3squart y) / z^5}
Click here to see answer by uma(370)

Question 111111: Solve for x: 9^x = 3
I think the answer is x=2

Solve for x: 2^9x-4 = 32
Click here to see answer by uma(370)

Question 111218: If Kenya has a population of 20,000,000 people and doubling time of 16 years and if the growth continues at the same rate, find the population in 22 years.
Click here to see answer by checkley71(8405)

Question 111216: A Childs grandparents purchase a $16,000 bond that matures in 16 years to be used for her education. The bond pays 6% interest compound semiannually. How much will the bond be worth at maturity?
Click here to see answer by checkley71(8405)

Question 111220: I am having trouble solving equations with logs this is the problem i am stuck on...
log6(x+3)+log6(x+4)=1
Click here to see answer by josmiceli(3003)

Question 111215: I am trying to write each expression as a single logarithm this is the problem i am stuck on
ln(x+2)-7ln(x)+3ln(x+7)
Click here to see answer by MathLover1(1183)

Question 111268: -3ln(x+1)+7ln(x)
use the properties of logarithms to write the expression as a single term.
Click here to see answer by josmiceli(3003)

Question 111227: I am having troubles with solving equations with logs.... this is the one im stuck on, 4^1-2x=32 (Four to the power of 1 minus 2x equals 32)
Click here to see answer by josmiceli(3003)

Question 111420: log8 fifth root of 8
Click here to see answer by jim_thompson5910(13785)

Question 111419: Evaluate

log2 16 and log7 1/49
Click here to see answer by edjones(3291)

Question 111580: log (base 3) x = 4 log (base x) 3
solve for x
i managed to get until this step
1
---- = 4 log (base x) 3
log (base x) 3
i've changed the base of the log on the left hand side to x, same as the right hand side, then i got stuck.
Click here to see answer by josmiceli(3003)

Question 111563: Use the logarithm properties to present the expression log(x + 9) - log x as the logarithm of a single quantity
Click here to see answer by josmiceli(3003)

Question 111418: Solve the equation

e^6^y = 25
Click here to see answer by Fombitz(2113)

Question 111488: How do you solve?
11 - 5log3 (x - 5) = 6
log x = 1 - log(x + 3)
and
e^6^y = 25
Thanks in advanced.
Click here to see answer by wgunther(43)

Question 111676: Rewrite as a single logarithm:
2logx - 1/2log(x^2+1) + 2log(x-3)
Thank you!
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 111673: Rewrite as a single logarithm
log12 + 1/2 log7 - log2
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 111726: Solve the equation analytically and show all your work, (NO Calculator0
log16^x + log4^x + log2^x = 7
(that is log base 16 to the power of x, etc.)
Thanks
Click here to see answer by jim_thompson5910(13785)

Question 111760: find the value of the expression
log 1/625
5
Click here to see answer by jim_thompson5910(13785)

Question 111755: when I entered this into my calculator it said error
ln x = -1.384 rounded to 3 significant digits.
Click here to see answer by jim_thompson5910(13785)

Question 111788: use logarithm laws to simplify
-

Click here to see answer by nihat(10)

Question 111905: Help.
4 log base of 5 (x+3)-3log base of 5 w
write as a single expression.
Click here to see answer by scott8148(3382)

Question 111902: Help! I am not familiar with a TI 83. I need to give four ordered pairs for this, y = 7^x
I had x values of -15, 0, 15, and 30.
The y values that showed up I did not understand, it said 2E-13, 1, 4.7E12, and 2.3E25 Why does it have E?
Click here to see answer by scott8148(3382)

Question 111897: help!
When I put this into my calculator it said "0"
solve for x
7e^5x=125
I put in 7 2nd Ln ^(5x)=125 (into a TI 83) what am I doing wrong?
What should the answer be?
Click here to see answer by scott8148(3382)

Question 111756: find x rounded to three significant digits.
when I put this in the calculator it said .0128 would that be correct?
Click here to see answer by scott8148(3382)

Question 111751: please help.
ln x - ln(x-5)=ln 12
Round to three significant digits.
Click here to see answer by scott8148(3382)

Question 112023This question is from textbook Essentials of using and understanding mathematics
: Magic Penny Parable. Answer question.
16. Suppose you keep making a single stack of pennies. After how many days would the stack be long enough to reach the nearest star (beyond the sun), which is about 4.3 light-years (4.0 x 10^13 km)away? (Proceed by trial and error). This question is from textbook Essentials of using and understanding mathematics

Click here to see answer by checkley71(8405)

Question 112028This question is from textbook Essentials of using and understanding mathematics
: Half-life. Exercise gives a half-life for an exponentially decaying quantity.
22. The half-life of a radioactive substance is 250 years. If you start with some amount of this substance, what fraction will remain in 70 years? In 1500 years?This question is from textbook Essentials of using and understanding mathematics

Click here to see answer by ankor@dixie-net.com(6689)

Question 112025This question is from textbook Essentials of using and understanding mathematics
: Doubling time formula. Use the approximate doubling time formula in exercise. Be sure to discuss whether the formula is valid for the case described.
20. Oil consumption is increasing at a rate of 1.9% per year. What is its doubling time? By what factor will oil consumption increase in a decade?This question is from textbook Essentials of using and understanding mathematics

Click here to see answer by ankor@dixie-net.com(6689)

Question 112248: Please help me solve this equation:
3^0.16x=1.5
i've tried to take logs of both sides but it doesn't come out with the right answer.
Thanks in advance!
Click here to see answer by bucky(1732)

Question 112282: Please help me
the question says use the Laws of Logarithms to rewrite the expression form with no logarithm of a product, quotient, or power.
the problem is log(x/3square root of 1-x)
Click here to see answer by scott8148(3382)

Question 112246: Solve, for x, the equation log base 2 (5x^2-x-2) = 2+2 log base 2 of x
Thanks so much!
Click here to see answer by scott8148(3382)

Question 112334: how do I solve ln e^1.5-ln square root e
Click here to see answer by jim_thompson5910(13785)

Question 112614: I can't solve this! Trying to solve the Nernst equation for a concentration

Click here to see answer by scott8148(3382)

Question 112594: solve :
log(base3)(3x+4)=log(base3)49
Click here to see answer by josmiceli(3003)

Question 112934: Please help me find a general term a sub n for the sequence 1/3, 2/4, 3/5, 4/6,...
Click here to see answer by jim_thompson5910(13785)

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