Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 635472: Okay can you show we how to solve the equation 3^(2x+1)-10*3^(x)+3=0
Please your help would be very appreciated cause i am doing an online class and do not have access to a teacher
Click here to see answer by stanbon(57328)

Question 635463: I have to solve the log equations algebraically
log 9=2x
Thanks!
Click here to see answer by Alan3354(30993)

Question 635481: Write this expression in completely condensed form. In other words, is there a way to write this expression in simplest form?
1.(log a)(log b)
Thank you so much for helping me out!
Click here to see answer by solver91311(16877)

Question 635521: Find all of the solutions to the equation:

Could you please guide me through this?
Thank you so much for helping and thank you so much for your time in helping me with this problem!
Click here to see answer by josmiceli(9672)

Question 635638: Solve the following equation:
220 X 4^(-0.02t) = 1540
Click here to see answer by unlockmath(1599)

Question 635641: The atmospheric pressure (measured in millibars and given the symbol P) decreases with height (h, in miles) according to:
P = 29.92xe^(-h/5)
a) Find the pressure at a height of 4 miles.
b) At what height (in miles) is the atmospheric pressure 10 millibars?
Click here to see answer by lwsshak3(6494)

Question 635637: Simplify the following expressions:
log36 - log3 + log2
6 X log2 - 2 X log4

Click here to see answer by lwsshak3(6494)

Question 635644: The impedance of a parallel conductor (symbol Z) is given by the formula:
Z = 276log(2D/d)
where D is the separation of the 2 metallic plates in the conductor and d is the diameter of the conductors.
a) calculate the impedance when the separation of the plates is 0.5mm and the diameter is 4mm. - (i just substitute the numbers in right?)
b) make D the subject of the formula
Click here to see answer by jsmallt9(3296)

Question 635629: I am stumped. I know there must be an answer. I studied my exponents like
2^3 = 8 and the inverse of that is 3 = log2(8) and the radical for that is
3 root 8 = 2. But with the same theory. I was wondering how log 7 = .8451.
10^.8451 = 7.000031591 in the radical form and in the fraction form works as well but I cannot figuire it out in the exponential form. I know there are
formulas and something like b()-1=b(something but can anyone explain how
10^.8451 which is log of 7 is worked out. Do I have to become a master guru just
to get through this.
Click here to see answer by jsmallt9(3296)

Question 635701: What is the value of log2?
By calculator it comes 0.3010 but how it can be get from log table or any other method. Please guide me
Thanks
Click here to see answer by ewatrrr(10682)

Question 635722: solve 7^(x^2)=2^(x+1) for x
Click here to see answer by stanbon(57328)

Question 635824: Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places) log8 (79) = (the 8 is lowered)
Click here to see answer by ewatrrr(10682)

Question 635834: Solve the following exponential equation.?
49^x+7^(x-1)-18=0
Could someone please just get me started?
Click here to see answer by jsmallt9(3296)

Question 635850: Use the definition of logarithm to simplify each expression.
(a) log4b (4b)

(b) log5b ((5b)^3)
(c) log7b ((7b)^-11)

Lets see for the log (4b, 5b and 7b) the numbers are lowered, I wasnt sure of how to display them.
Click here to see answer by Alan3354(30993)

Question 636067: Find the exact value log[27](6)+log[27](18)-log[27](4)

Click here to see answer by ewatrrr(10682)

Question 636102: What is this equation in logarithmic form : P = a^L
Click here to see answer by jim_thompson5910(28593)

Question 636102: What is this equation in logarithmic form : P = a^L
Click here to see answer by Alan3354(30993)

Question 636169: How do I solve for log base 1/3 of the square root of 3 over 3 = x
Click here to see answer by Alan3354(30993)

Question 636301: Hi, I have quite a bit of troublesome problem here...
What is the log_4 of sq.rt2?

Click here to see answer by stanbon(57328)

Question 636288: How do i express log base b to number cube root a tothe power -3 times b devided by q power -3 in terms of sums and differences
Click here to see answer by stanbon(57328)

Question 636303: What is the log_1/9 of sq.rt 3?
What is the log_sq.rt 10 of (0.000001)?
Click here to see answer by ewatrrr(10682)

Question 636306: Can you help me solve this in the easiest way possible?
Log5 625=
Click here to see answer by Edwin McCravy(8908)

Question 636327: This is a rather confusing question and I apologize if it confuses anyone else too.. but here goes:
e^(xlnb) (e^(xlnc)) = (bc)^2
Click here to see answer by solver91311(16877)

Question 636379: Use the properties of logarithms to simplify and solve: ln 2 + ln X = 1
Click here to see answer by solver91311(16877)

Question 636455: log (x-4) - log (x+5) = 1
Click here to see answer by lwsshak3(6494)

Question 636455: log (x-4) - log (x+5) = 1
Click here to see answer by DrBeeee(378)

Question 636451: Solve for x.
6^(log_6 of x^2) = x+30
2-log_(2-x)of 2x = 0
Click here to see answer by lwsshak3(6494)

Question 636604: a. The approximation of the natural logarithm of 2: ln 2 ≈ 0.693 is commonly used by applied scientists, biologists, chemists, and computer scientists. For example, chemists use it to compute the half-life of decaying substances. Based on this approximation and the power rule for logarithmic expressions, how could you approximate ln 8, without a calculator? Explain.
Click here to see answer by Alan3354(30993)

Question 636523: Solve for x: log 4 + 2 log x= log 100
Click here to see answer by lwsshak3(6494)

Question 636518: Write as a single quantity: (1/5)[3log(x+1)+2log(x-1)-log7]
Click here to see answer by jsmallt9(3296)

Question 636781: Write in expanded form: log b [on the bottom] ((x^3y^2)/sqrt(w))

Click here to see answer by ewatrrr(10682)

Question 636781: Write in expanded form: log b [on the bottom] ((x^3y^2)/sqrt(w))

Click here to see answer by stanbon(57328)

Question 636996: If log2 base 10=0.13010& log3 base 10=0.4771 evaluate log 4.5 base 10
Click here to see answer by jsmallt9(3296)

Question 637132: Graph the function: g(x) = 2/3 log_2(x-3) + 2
Plot two points and the asymptotes (if any) of the graph of the function.
Help please! Thank you very much! Can anyone please walk me through the steps to achieve this answer?!
Click here to see answer by lwsshak3(6494)

Question 636769: Given that the amount in an account earning continuous interest is given by the formula A=Pe^(rt) determine the of money that should be invested at a rate of 5% compounded continuously to produce a final balance of $18,000 in 25 years.
Click here to see answer by lwsshak3(6494)

Question 637300: The sales of a new electronic gadget are growing exponentially such that a total of 10000 gadgets were sold in 2000 and 82700 gadgets were sold in 2002. If this trend continues, in what year will sales of the gadget reach/exceed 500000?

I am unsure if I should be using the exponential growth function A=A(0)e^kt or not and if so how do I work out the value of k? Very confused. Thank you.
Click here to see answer by jsmallt9(3296)

Question 637682: solve for x
lnx + ln(x+7)=2
Click here to see answer by Alan3354(30993)

Question 637690: what is the answer if i mathematically Evaluate 2log10 5 +log 10 36 - log 10 9,Please i need solvings too
Click here to see answer by nerdybill(6958)

Question 636471: Hi, I need help with several questions.
Solve for x.
6^(log_6 of x^2) = x+30 I'm not sure if this makes sense, but that log_6 of x^2 literally shows up as an exponent on my worksheet.
2-log_(2-x)of 2x = 0
I'm not sure if this makes sense either...
Let ln A=8, ln B=-3, and ln C=5. Evaluate each of the following.
1. ln 4 sqrt of A. The 4 is part of the square root.
2. ln (Be)/C
3. ln sqrt of ((A^5Ce^2)/B^3) meaning everything is under the square root.

Click here to see answer by lwsshak3(6494)

Question 637706: contract the expressions below as a single logarithm with a coefficient of 1.
ln(3)-2ln(4)+ln(8)
ln (3)-2ln(4+8)
ln (3)-2(ln(4)+ln(8))
Click here to see answer by lwsshak3(6494)

Question 637942: solve for x and round the answer to the nearest hundreth. 5 = ln(x + 1)
Click here to see answer by ankor@dixie-net.com(15649)

Question 638062: Can you please help me evaluate 5^log1/5(1/2)
Thank in advance
Vijji
Click here to see answer by Theo(3460)

Question 638182: logarithmic equation
solve 3^x+2=81 need help Im kinda slow..lol
Click here to see answer by MathTherapy(1423)

Question 638316: Use properties of logarithms to condense the logarithmic expression below. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions 3ln x+4ln y-5ln z
Click here to see answer by stanbon(57328)

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