Questions on Algebra: Logarithm answered by real tutors!

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Question 314862: i need the answers to these following questions.
what is the solution of the equation? 30/(1+6e^(-5x))=10
ln(x^2+3x)- ln 10=0
2lnx+ln3
e^(ln2.5)
Click here to see answer by Fombitz(13828)

Question 314762: Express as a single logarithm, and, if possible, simplify.
1/4loga x+8loga y-2loga x
My choices are:
A. Loga x7/4y4
B. Loga 1/7x4y4
C. Loga 7/x4/y4
D. Loga y8/7/x4
I picked D. Is this correct?

Click here to see answer by Fombitz(13828)

Question 314847: for what value of x would the quotient (3x^2+4x-5)/(x+2) not make sense?
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Question 314868: solve x ln x
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Question 314886: how do I solve log base 6 of 12?
Click here to see answer by nerdybill(6957)

Question 314886: how do I solve log base 6 of 12?
Click here to see answer by CharlesG2(828)

Question 314892: write as an equivalent exponential do not solve logm P = a
Click here to see answer by solver91311(16877)

Question 314943: 1. Assume that the number of viruses present in a sample is modeled by the exponential function "f(t)=10^t", where t is the elapsed time in minutes. How would you apply logarithms to determine when the sample will grow to 5 billion viruses?
2. Show how to solve the exponential equation 5.000,000,000=10^t

Click here to see answer by Fombitz(13828)

Question 314952: How would I go about solve this problem I keep getting stuck.
-log base 3.5 (exponet -1)
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Question 314972: Can you help me evaluate the logarithmic equation for three values of x that are greater than -3, three values of x that are between -4 and -3, and at x = -3. State the equation of the line asymptotic to the graph (if any).
y = log4 (x + 4)
Click here to see answer by solver91311(16877)

Question 315093: I am being asked to find the value of x.
log6 216 = x
I am certain that x = 3 but can not simplify to show how I got this answer. Please help
Click here to see answer by nyc_function(2733)

Question 315097: In 2008,the world population was 6.7 billion and the exponential growth rate was 1.14% per year.
A. Find the exponential growth function
B. Predict the world population in 2014
C. When will the world population be 8.0 billion?
Click here to see answer by stanbon(57290)

Question 315100: I am absolutely lost on these type of equations. Your assistance is deeply required. Please explain as fully as possible.
3^x+3 + 3^x = 84 (Hint: 3^x+3 = 3^x3^3) If the answer is not exact give the answer to four decimal places
Click here to see answer by Fombitz(13828)

Question 315119: if log(base3)x=7, evaluate the following. log(base3)9x

Click here to see answer by malaydassharma(59)

Question 315038:
Express as a sum, difference, and product of logarithms, without using exponents.
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Question 315029: log16 base 64=
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Question 315156: provide an example of at least 3 ordered pairs that do not model a function
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Question 315176: Can someone help me solve this problem? Where appropiate, include approximations to the nearest thousandth.
log x (log3 9)=2
Click here to see answer by Fombitz(13828)

Question 315193: I have been working on this for hours and I just cannot get it. The question is:Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0.Show your work. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph(if any).
y=(1/4)^x-3
Any help would be greatly appreciated!
Click here to see answer by Fombitz(13828)

Question 315194: I have another question I am stuck on. Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between 0 and-1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph.
y=log2(x+2)
Click here to see answer by Alan3354(30993)

Question 315213: solve. where appropriate, include approximations to the nearest thousandth. if no solution exists, state this
log (x + 3) + log x = 1
Click here to see answer by nerdybill(6957)

Question 315212: solve. where appropriate, include approximations to the nearest thousandth. if no solution exists, state this
In 8x=5
Click here to see answer by nerdybill(6957)

Question 315214: solve. where appropriate, include approximations to the nearest thousandth. if no solution exists, state this
5^x = 125
Click here to see answer by josmiceli(9668)

Question 315214: solve. where appropriate, include approximations to the nearest thousandth. if no solution exists, state this
5^x = 125
Click here to see answer by malaydassharma(59)

Question 315214: solve. where appropriate, include approximations to the nearest thousandth. if no solution exists, state this
5^x = 125
Click here to see answer by nerdybill(6957)

Question 315218: solve the problem
log9 1= x
Click here to see answer by CharlesG2(828)

Question 315262: evaluate the logarithm.
1. log (base 7) 1/49
write the expression as a single logarithm
2. 5log (base b)q+3 log(base b)w
3. 4 log x-6 log (x+2)
4. solve 4^2x=111
Click here to see answer by nerdybill(6957)

Question 315270: Convert to logarithmic equation.

a. e3 = x b. 2x = y c. pk = 3
Click here to see answer by solver91311(16877)

Question 315283: find the logarith using the change-of-base formula.
logn 1500
Click here to see answer by nerdybill(6957)

Question 315283: find the logarith using the change-of-base formula.
logn 1500
Click here to see answer by Fombitz(13828)

Question 315286: if log 2 = 0.301 and log 3 = 0.477
what does log9 8 =??
Click here to see answer by Fombitz(13828)

Question 315288: please help me solve.
log9 x = (1/2)
Click here to see answer by unlockmath(1599)

Question 315284: transform the second expression into the equivalent logarithmic equation.
y=2^-(x-2) x=2^-(y-2)
Click here to see answer by user_dude2008(1861)

Question 315174: Can someone help me figure this problem out, I am so lost....Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work please
Click here to see answer by solver91311(16877)

Question 315401: Assume that x,y,z and b are positive numbers. Use the properties of logarithms to write each expression in terms of the logarithms of x,y, and z.
log(base b) 3xz
Here is my my solution:
log (base b) 3xz
log (base b) (3x)z
log (base b) 3x + log (base b)z
log (base b) 3 + log (base b) x + log (base b)z
Is this correct or even close
Click here to see answer by jim_thompson5910(28536)

Question 315420: Can anyone help me with this one? Assume that x,y,z and b are positive numbers. Use the properties of logarithms to write each expression in terms of the logarithms of x,y, and z.
log(base b)x + log(base b)(x+2)- log(base b)8
Click here to see answer by stanbon(57290)

Question 315352: what is the answer for this logarithmic equation?
2 ln(-x)+7=14
Click here to see answer by Fombitz(13828)

Question 315359: solve. where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
log x = 1
Click here to see answer by Fombitz(13828)

Question 315417: Find the logarithm using the change-of-base formula. ten-thousandth.
log[9]73.11
Click here to see answer by Fombitz(13828)

Question 315427: Assume that x,y,z and b are positive numbers. Use the properties of logarithms to write each expression in terms of the logarithms of x,y, and z.
log(base b)x^(1/2) y^3
Click here to see answer by jim_thompson5910(28536)

Question 315415: Solve: ln(2x+3)=3
Click here to see answer by nerdybill(6957)

Question 315465: Given that is approximately 0.301 and approx. 0.477, find .
Click here to see answer by Edwin McCravy(8893)

Question 315510: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
log(base7)x = 5

Click here to see answer by CharlesG2(828)

Question 315507: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
ln x - ln (x - 4) = ln 4

Click here to see answer by CharlesG2(828)

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