Questions on Algebra: Logarithm answered by real tutors!

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Algebra: Logarithm

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Question 108092: in need of help with:solve algebraically ln 2+ ln(x-6)=ln(x+2)
Click here to see answer by bucky(1732)

Question 108085: i need help solving: solve algebraically 5^(2x-7)=1/125. thanks
Click here to see answer by scott8148(3382)

Question 108165: can anyone help me solve this: find the balance(to the nearest cent) if $24,000 is invested at an annual interest rate of 6.8% for 10 years compounded continuously. I have tried to solve 5 times but cannot come up with a reasonable answer.
Click here to see answer by Fombitz(2113)

Question 108167: what is the domain of f(x)=x+log(base)3(x-5). not sure if it is x>5 or x>0 of course i could be wrong for both . can someone help.
Click here to see answer by Fombitz(2113)

Question 108166: can anyone help me?:determine the horizontal asymptote of the graph of
B(t)=1200/1+34e^-0.125t. i have no idea how to solve this.
Click here to see answer by Fombitz(2113)

Question 108088: So lost can anyone help me? find k in the exponential function
N(t)=N base0e^kt, given that N(0)=1 and N(3)=7. thanks in advance.
Click here to see answer by Fombitz(2113)

Question 108171: I need help with: the graph of f(x)=(1/2)^x is either an increasing or decreasing function with a y-intercept of either (0,1), or (0, 1/2). i think its increasing but not sure on the intercept. thank you.
Click here to see answer by ankor@dixie-net.com(6689)

Question 108230: 1. Find "x" for these 2 problems
a)9^2x=2*(9^x)+3
b)3*(3^x)+9*(3^-x)=28
ive graduated 2years ago and i dont remember how to do those 2 problems
id like to know how to solve them step by step thanks
yours
brian
Click here to see answer by scott8148(3382)

Question 108168: can someone help me solve: given log_b3 = 0.6826 and log_b7 = 1.2091, evaluate log_b21. completely lost.

Click here to see answer by Edwin McCravy(2920)

Question 108335: 1)What is the inverse of:
y=3^x
2)What is the inverse of:
y=log(base 3)X
Click here to see answer by stanbon(26252)

Question 108359: How do I solve a problem like this: P=795e^0,0306t? with the X that I've got to find at the exponant and not at the base?
Click here to see answer by stanbon(26252)

Question 108093: Can someone tellme if the graph of g(x)=logbase4(x+3), is an increasing or decreasing function with a vertical asymptote of 3 or -3?? how do i know?
Click here to see answer by scott8148(3382)

Question 108450: Hey how do I expand this problem? log7(3x-2)^2
Click here to see answer by stanbon(26252)

Question 108463: solve for x .
log(x+7)-logx=3
Click here to see answer by stanbon(26252)

Question 108483: I dont know how to do this problem because of the square root, I couldnt even write it correctly on this post. Help!
Given that and , evaluate
Click here to see answer by Edwin McCravy(2920)

Question 108485: I dont know how to evaluate this problem because of the cube root. Someone please help me! Thanks!!
Evaluate the logarithmic expression:

Click here to see answer by stanbon(26252)

Question 108501: The loudness level of a heavy snore is 69dB. The loudness level of a conversation is 60dB. The loudness level of a whisper is 30db.
a)How many times as lound as a conversation is a heavy snore?
b)How many times as lound as a whisper is a conversation?
I have to use this formula:L=10Log(I/Io)
Please include all steps. Thank you.
Click here to see answer by stanbon(26252)

Question 108433: Can you please help me with this question.
The problem is 5^x-2=4^x-1. The answer I came up with is log4 but that doesnt seem right can you help? Thanks

Click here to see answer by Fombitz(2113)

Question 108685: If f(x) = 11x + 7 and g(x) = x^2 - 6x, find (f o g)(x)

Click here to see answer by stanbon(26252)

Question 109271: show that 7log(16/15)+5log(25/24)+3log(81\80)=log2
Click here to see answer by stanbon(26252)

Question 109177: For this question I keep coming up with 1/7, but it's marked incorrect. Can you please help me figure out what I'm not doing correctly?
The log base is 4. Find the value of x in the following equation.
log_4 x+7=log_4 50+log_4 x
Click here to see answer by ankor@dixie-net.com(6689)

Question 109438: how do I rewrite the logarithm below as a single logarithm with a coefficient of 1?
2log_b x+5log_b y
Click here to see answer by stanbon(26252)

Question 109438: how do I rewrite the logarithm below as a single logarithm with a coefficient of 1?
2log_b x+5log_b y
Click here to see answer by scott8148(3382)

Question 109464: i can not figure out what to plug in for the rate in the following word problem...
The radioactive element iodine-131 has a half-life of 8 days and is often used to help patients with thyroid problems. If a certain thyroid procedure requires .5g and is scheduled to take place in 3 days, what is the minimum amount that must be on hand now? I am using the equation A=A_oe^rt
Click here to see answer by stanbon(26252)

Question 109463: I am supposed to solve for x and the base of the logarithm is 10 but I can not figure it out.
log[10+3x]=7log4
Click here to see answer by stanbon(26252)

Question 109878: Log(3x^2+2x+2)=0.84509
Click here to see answer by stanbon(26252)

Question 109930: Is this problem true or false.....log(1+2+3) = log(1) + log(2) + log(3)
Click here to see answer by stanbon(26252)

Question 109931: Is it true in general that log(A+B) = log(A) + log(B)?
Click here to see answer by MathLover1(1183)

Question 109937: Can you help me find a example of when log(A+B) = log(A) + log(B) would be true?
Click here to see answer by stanbon(26252)

Question 110147: 2^2x - 12(2^x) + 32 = 0
I know the answers are 2 and 3 but I do not know how to prove it algebraically
Click here to see answer by scott8148(3382)

Question 110255: HELP!!!! Please
Simplify the expression: (625x^4y)one-fourth over (256xy^3)three-fourth. Assume that all variables represent positive numbers.
Click here to see answer by stanbon(26252)

Question 110263: Evaluate the expression log5 5^8
Click here to see answer by stanbon(26252)

Question 110271: Assume that x is a positive number. Use the logarithm properties to present the expression log(x+2)-log x as the logarithm of a single quantity.
Click here to see answer by stanbon(26252)

Question 110274: Fill in the blank to make a true statement. To solve 3^x=27, we can take the logarithm of each side of the equation to get log(3^x)=log(27). The power rule for logarithms would then provide a way of moving the variable x from its position as an __________ to the position of a coeffient.
Click here to see answer by stanbon(26252)

Question 110276: Write the equation (1/2)^-3=8 in logarithmic form.
Click here to see answer by stanbon(26252)

Question 110260: Find the value of x: log x 25 over 9 = 2
Click here to see answer by stanbon(26252)

Question 110358: Explain the difference between a logarithm of a product and the product of logarithms and give examples of each.
I know the logarithm of a product is the sum. I know the second part is multiplication of two logarithms. I just can't think of an example.
I think the logarithm of a product would be log(6*7)= log(6) + log(7)
For the product of two logarithms, multiplication is used. I am confused. Please help...
Click here to see answer by josmiceli(3003)

Question 110650: Find the value of x: log5 625 = x
Click here to see answer by MathLover1(1183)

Question 110791: I tried to rewrite this as e^4=x-4 to solve (I came up with the wrong answer), but I think that isnb't the way to go.
Solve the following logarithmic equation:
5ln_(x-4)=4
Click here to see answer by stanbon(26252)

Question 110790: Does this wind up using the quotient rule, where the first step is to separate the left side as ln_49 - ln_1-1e^3x = 68? After that, if it's right, I'm stuck as to how to continue.
Solve the following exponential equation:
49/(1-1e^3x)=68
Click here to see answer by stanbon(26252)

Question 110847: Let's try this one.
Solve the following exponential equation.
Ln(x+2) - Ln4 = 4
Click here to see answer by ankor@dixie-net.com(6689)

Question 110850: I still didn't get an answer for this one. It's not a typo, as far as I know, but I can't get started on it.
Solve the following exponential equation:
49 over(/) 1-1e^3x = 68
If there's a typo, it could be 1-1e^3x is supposed to be read 1-1e_3x, but the 3x definitely looks like a little exponent and not a base.
Click here to see answer by scott8148(3382)

Question 110930: solve exactly
(lnx)^3= lnx^9
Click here to see answer by jim_thompson5910(13785)

Question 110929: solve exactly
log(x+4)-log(x-3)=log 8
Click here to see answer by jim_thompson5910(13785)

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