Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 371941: Solve the following logarithmic equation. Check all solutions.
log(x)+log(x+21)=2
Click here to see answer by nerdybill(6951)

Question 371941: Solve the following logarithmic equation. Check all solutions.
log(x)+log(x+21)=2
Click here to see answer by CharlesG2(828)

Question 371941: Solve the following logarithmic equation. Check all solutions.
log(x)+log(x+21)=2
Click here to see answer by Fombitz(13828)

Question 371939: Solve the following logarithmic equation. Check all solutions. (Enter solutions from smallest to largest).
1/2log(4x+5)=log(x)
Click here to see answer by CharlesG2(828)

Question 372029: Solve:
log base 4 (X) + Log base 8 (x) = 1
ln X/ln 4 + ln X/ln 8=1
2 ln X/2 ln 4 + ln X/ln 8 = 2
ln X^2 + ln X = 2 ln 8
ln X^2 + ln X - 2 ln 8 = 0
ln X^2(x)-2 ln 8 = 0
ln X^3 - 2 ln 8 = 0
ln X^3 / 2 ln 8 = 0
ln X^3/ln 64
I am not sure this is done right?????
Click here to see answer by Fombitz(13828)

Question 372076: how do i solve log base 3 (x-8)+ log base 3 x =2
Click here to see answer by ewatrrr(10682)

Question 372299: write 1/3ln x-2/3ln y as a single logarithm?
Click here to see answer by stanbon(57282)

Question 372299: write 1/3ln x-2/3ln y as a single logarithm?
Click here to see answer by solver91311(16872)

Question 372348: log base 3 (x+1) - log base 3 (x-3)=2
Click here to see answer by jsmallt9(3296)

Question 372207: 12e^2x=5^x I need to solve for x and i dont know how too
Click here to see answer by jsmallt9(3296)

Question 372545: how you guys condense that expression as single quantity. Thanks.
3[lnx-ln(x+3)-ln(x-3)]
Click here to see answer by Fombitz(13828)

Question 372756: If ln 2 = a and ln 3 = b, write the expression ln(3/4) in terms of a and b.
Note: You are not being asked to approximate the value of the expression.
Click here to see answer by scott8148(6628)

Question 372785: 3logx- log11- 4logz+2logy in condensed form
Click here to see answer by nerdybill(6951)

Question 372967: 5|lnx|-20 = 0
solve
Click here to see answer by robertb(4012)

Question 372994: (e^x - e^-x)/2 =-2
Click here to see answer by jsmallt9(3296)

Question 373138: log(x^2+9)-log(x+3)=2+log(x-3)
Help please!
Click here to see answer by Edwin McCravy(8893)

Question 373138: log(x^2+9)-log(x+3)=2+log(x-3)
Help please!
Click here to see answer by CharlesG2(828)

Question 373213: (x^2-9)=2
(x^2-9) is all under a square root
=2 is not
Click here to see answer by Fombitz(13828)

Question 373262: log(x^2-9)=2
(x^2-9) is all under a square root
=2 is not
Click here to see answer by Fombitz(13828)

Question 373206: log[4](x)+log[8](x)=1
Click here to see answer by Fombitz(13828)

Question 373272: How do I evaluate log small 3 √3?
Click here to see answer by Fombitz(13828)

Question 373431: I've been asked (as a step in graphing) to "find the log of the concentrations of the gibberellins" I guess I just don't know what I'm being asked. the concentrations are 10^-7 molar, 10^-6 molar, 10^-5 molar and 10^-4 molar. what are their logs?
Click here to see answer by scott8148(6628)

Question 373505: Find the exact value of the logarithm without using a calculator.
log5(1/125)
I understand how to change the base, but I don't know where to go from there without using a calculator.
This is what I have so far log(1/125)/log(5)

Click here to see answer by robertb(4012)

Question 373300: townsville and bayville are sister cities that are located on opposite sides of the famous mississippi river. townsnille has an initial population of 40000 and is experiencing a 4% per annum population growth. bayville on the other hand has an initial population of 150000 and unfortunately is experiencing a population decline of 2% per annum. find the year in which the two towns will have the same population?
Click here to see answer by jsmallt9(3296)

Question 373152: log_x20=1
Click here to see answer by jsmallt9(3296)

Question 372991: log2(3x+2) - log4(x) =3

Click here to see answer by jsmallt9(3296)

Question 373727: Solve the equation algebraically.
ln(x+1)^2 = 2
Click here to see answer by Fombitz(13828)

Question 373726: Solve the exponential equation algebraically. Round the result to three decimal places.
1000e^-4x = 75
Click here to see answer by Fombitz(13828)

Question 373724: Simplify the expression
-8 + e^(ln x^3)
Click here to see answer by Fombitz(13828)

Question 373722: Solve for x
log base 5 (5x) = 2

Click here to see answer by Fombitz(13828)

Question 373784: Please help me solve this equation:
Click here to see answer by robertb(4012)

Question 373853: log(7)0.2
Click here to see answer by robertb(4012)

Question 373792: Find the exponential function f(x)=ab^x that goes through (0,40) and (8,25)
Click here to see answer by Fombitz(13828)

Question 373788: A certain city's population currently is 80,000. City leaders anticipate the population in future years can be predicted by the equation P(t)=80000(1.03)^t. When will the population reach 200,000 or more?
Click here to see answer by Fombitz(13828)

Question 373789: Bill borrowed $300 from Smiling Mikes Loans and he is charged 42.5% compounded continuously. When will Bill owe $1.500?
Click here to see answer by solver91311(16872)

Question 374012: Find the accumulated value of an investment of $17,000 at 6% compounded annually for 6 years.
a.$22,749.83
b.$24,114.82
c.$23,120.00
d.$22,100.00
Evaluate the expression without using a calculator.
log9(9^12)
a.21
b.9
c.12
d.log912
Find the domain of the logarithmic function.
f(x) = log4(x + 3)
a.(-3, ∞)
b.(-∞, 0) (0, ∞)
c.(3, ∞)
d.(4, ∞)
Larry has $2600 to invest and needs $3100 in 13 years. What annual rate of return will he need to get in order to accomplish his goal, if interest is compounded continuously? (Round your answer to two decimals.)
a.1.35%
b.3.44%
c.1.44%
d.2.44%
Click here to see answer by solver91311(16872)

Question 374013: Please let me know how to solve this problem, having trouble solving it:
S=-18 log t+84, where S is the score in percentage and t is the time in minutes.
After how many minutes was the score 50%?
Thanks.
Click here to see answer by solver91311(16872)

Question 374079: e^-t=25
Convert this to a logarithm equation
Click here to see answer by jim_thompson5910(28536)

Question 374141: solve the following logarithim.... natural log of (x-2)-natural log of (x) = 4
Click here to see answer by robertb(4012)

Question 374150: I do not understand why Log base 2 to the number = 0. (why Log(2) = 1)

When I tried to solve it I did this: [ ]= superscript (exponent)
y=Log(2) 1

2[y]= 1 -----> 2[y] = (2)[?]<----- me trying to find a common base

I'm stuck here as in my textbook it says the next step is to find a common base. But how do I find a common base between 2 and 1?
Click here to see answer by edjones(7569)

Question 373981: The demand equation for a certain product is given by
p=5000(1-(4/(4+e^-0.002x)))
Find the demands x for prices of
a) p=$600
b) p=$400
Click here to see answer by jsmallt9(3296)

Question 374143: graph f(x)= (1/4)x and g(x) = log1/4 x in the same rectangular coordinate system.
Click here to see answer by Fombitz(13828)

Question 374248: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) ln x + ln(x + 1) = 2
Click here to see answer by robertb(4012)

Question 374256: Use law of logarithms to evaluate:
log5 ((120·125)/24)= ?
*log ((120·125)/24) to the base of 5.
Click here to see answer by jsmallt9(3296)

Question 374255: Use law of logarithms to evaluate:
log5 (1000/8)= ?
*log(1000/8)to the base of 5.
Click here to see answer by jsmallt9(3296)

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