Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 45037: Find the exact solution to the equation 3^(x+5)=9^x.
I have 5. Is this right?
Thank you.
Click here to see answer by Nate(3500)

Question 45035: Find the number log subscript 5(1/5).
I have 1. Is this correct?
Thank you for your time.
Click here to see answer by Nate(3500)

Question 45116: Exponential and Logarithmic Functions.
Compound Interest. If $500 is deposited in an account paying 8.5% annual interest, compounded semiannually, how long will it take for ethe account to increase to $800?
Click here to see answer by stanbon(57224)

Question 45114: Find each value of x.
log2 8 = x
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Question 45117: Solve for x: log(x - 4) + log 2 = 1
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Question 45133: I've been working on a problem but can't seem to find the solution to write as a single logarithm: 2 log 4 + log x - log 2.
My fisrt instict/ step was to: rearrange the problem to make it more clearer to work and went from there. I'm missing a step somewhere, any guidance would be greatly appreciated.
2 log 4 + log x - log 2
log 4^2 + log x - log 2
log 16 - log 2 + log x ?
log x = log 16 / log 2 ?
x = 8 ?

Click here to see answer by adamchapman(301)

Question 45199: I need to evaluate log6 123.
the six is a small 6at the bottom of the g.

Click here to see answer by rapaljer(4667)

Question 45238: Can you please help me with this problem?
Solve the equation by isolating the natural logarithm and exponentiating both sides. Express the answer in terms of e.
6 + 6 ln x = 11

Thank You!!

Click here to see answer by stanbon(57224)

Question 45197: I need to evaluate log6 123.
the six is a small 6at the bottom of the g.

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Question 45275: Expand and simplify: ln(ex)
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Question 45273: 1. Find the domain of the function f(x) = ln(x - 7).
Click here to see answer by rapaljer(4667)

Question 45390: Please explain the difference between a logarithm of a product and the product of logarithms and give examples of each.
Click here to see answer by rapaljer(4667)

Question 45274: Write as a single logarithm (DO NOT find approximations): 2 log 4 + log x - log 2.
Click here to see answer by rapaljer(4667)

Question 45397: I need to express log5 x-(2log5 y-log5 t) as a single logarithm with a coefficient of one.
note: the log 5 is a small 5 at the bottom of the g.
Click here to see answer by Nate(3500)

Question 45396: I need to write log3 (3/xysquared divided by w) in expanded form
note: Log3 is a small 3 at the bottom of the g, and I used the symbol / for the square root symbol. and the three in front of my square root symbol is in the index. So it would be the cubed root of xy with the y being squared.
Click here to see answer by Nate(3500)

Question 45409: I do not understand how to do these problems could you explain the problem so I can understand better.
Assume the x,y,z, and b are positive numbers and b =/ 1. Use the propertie og logarithms to write each expression in the terms of thelogarithms x, y, and z.
51) logx^3y^2
Click here to see answer by stanbon(57224)

Question 45455: Sove the logarithmic equation, could you explain to me how to do this?
log x + log (x+9) = 1
Click here to see answer by stanbon(57224)

Question 45454: Could someone explain to me the difference between a logarithm of a product and the product of logarithms and give examples of each.
Click here to see answer by stanbon(57224)

Question 45492: I'm not sure how to set up this problem. The number before the x in the exponent expression on the #3 confuses me. The problem is 3^2x=4^x
I have set the problem up as 2xLog3=xlog4. The next step I believe is 2xLog3-xLog4=0, Factor out x. X(2log3-log4)=0. I don't know if this is right or what the next step would be. without the 2 in front of log 3 I would divide out the expression in the parenthesis to get x=0. Any help would be greatly appreciated thank you. Tamara
Click here to see answer by Nate(3500)

Question 46076: Solve the equation ln(x+5)-ln(3)=ln(x-3).
Thank you.
Click here to see answer by atif.muhammad(135)

Question 46078: Write the expression log subscript a(y+5)+2log subscript a(x+1) as one logarithm.
Click here to see answer by Nate(3500)

Question 46077: Given that log subscript a(x)=3.58 and log subscript a(y)=4.79, find log subscript a(y/x).
Thanks.
Click here to see answer by Nate(3500)

Question 46075: Solve log subscript a(8x+5)=log subscript a(4x+29).
Thanks.
Click here to see answer by Nate(3500)

Question 46107: Hi again,
I could use some help with this problem:
Solve the logarithmic equation: log (x+3) + log x = 1
Thanks,
Louis
Click here to see answer by Nate(3500)

Question 46192: Sketch the graph of the function and identify the vertical asymptote:
F(X)= ln(x-3)
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Question 46225: Can someone help me with logarithms?!?! I need to solve the equation (6 + 6 lnx = 11) by isolating the natural logarithm and exponentiating both sides, expressing the answer in terms of e. Any explanation would be extremely helpful as I am not even sure where to start!!
Thank You!!
Click here to see answer by Nate(3500)

Question 46227: Express as a single natural log:
21nx - 51ny + 31nz
Click here to see answer by venugopalramana(3286)

Question 46228: Expand:
log10 4sqrt(y^3/20x^5)
Click here to see answer by longjonsilver(2297)

Question 46292: Expand:
log10 4th root of (y^3/20x^5)
Click here to see answer by AnlytcPhil(1276)

Question 46623: what is the answer to: xlog4=8
Click here to see answer by Nate(3500)

Question 46653: solve the equation ln(x+5)-ln(3)=ln(x-3).
Click here to see answer by adamchapman(301)

Question 46918: Find the number log5 (1/5).
Click here to see answer by mathchemprofessor(65)

Question 46917: The amount A in an account after t years of an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^(rt) where r is expressed as a decimal. What is the amount in the account if $500 is invested for 10 years at the annual rate of 5% compounded continuously?
Click here to see answer by stanbon(57224)

Question 46943: Can someone help me please??...
the question asks to solve the eqaution for x
log(bottom side 3) 1/81 = x
can someone show me how to do this? thanks!!
Click here to see answer by fractalier(2101)

Question 46871: solve expressing answer in terms of e
4 + 6 ln x = 16
Click here to see answer by fractalier(2101)

Question 46873: Write the formula for the general (nth term) of the following arithmetic sequence. (Do not use a recursive formula.) Then use your formula to find the 17th term.
3, 9, 15, 21, 27, 33, …
Click here to see answer by fractalier(2101)

Question 46870: solve expressing solution in natural logs
13^x=127
Click here to see answer by fractalier(2101)

Question 46998: log 8- logx = 2
log 7x=2
x=2/7
Is this right? Thank you, Michelle
Click here to see answer by atif.muhammad(135)

Question 46868: solve system of equations
3x+2y=5
6x+3y=6
Click here to see answer by mathchemprofessor(65)

Question 47029: what is the value of log square root of m to the 3rd power/n?

Click here to see answer by Nate(3500)

Question 47028: What is the value of log AB squared (i don't know how to type the 2)?
I have no idea how to solve this.

Click here to see answer by Nate(3500)

Question 47026: What is the value of log(2+3)?
I have got the answer of log 2 + log 3, but want to see if this correct.

Click here to see answer by Nate(3500)

Question 47025: What is the value of 2 log 1? I have an answer of 1 but want to make sure it is correct.

Click here to see answer by Nate(3500)

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