Questions on Algebra: Logarithm answered by real tutors!

Tutors Answer Your Questions about logarithm (FREE)

Question 315506: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.
e^0.06t + 2 = 6

Click here to see answer by Fombitz(13828)

Question 315607: World Population was 6.7 billion and the exponential growth rate was 1.14% per year. source : u.s. Census Bureau
A. Find the exponential growth function
B. Predict the world population in 2014
C. When will the world population be 8.0 billion
can you explain the steps using the formula (P(t)
Click here to see answer by stanbon(57216)

Question 315585: logarithm using the change-of-base formula. Round to the nearest ten-thousandth.
log8.1 5.6
Click here to see answer by nerdybill(6948)

Question 315652: Solve where appropriate, include approximations to the nearest thousandth. If no solution exisits, state this.
2^(x+1)=4
Click here to see answer by Fombitz(13828)

Question 315738: Express as a single logarithm, and, if possible, simplify.
logb 5x + 7(logb x - logb y)

Click here to see answer by nerdybill(6948)

Question 315739: Express as a sum, difference, and product of logarithms, without using exponents.
logb sqrt a^7b^6/a^3b^4

Click here to see answer by stanbon(57216)

Question 315732: Given f(x) = "log base a of x" please describe the restrictions on a and the restrictions on x
Click here to see answer by jim_thompson5910(28476)

Question 315787: log (base 5) (2x+3) = 3
also, show me, step by step, how exactly, you can solve this problem
Click here to see answer by Alan3354(30957)

Question 315788: log (base 3)(x+9) -log(base 3)x=3
Show me, how to do this problem, so i get it :D
Click here to see answer by scott8148(6628)

Question 315778: solve for y
y = -log(base4)0.75
y = -log(base4)0.50
y = -log(base4)0.25

Click here to see answer by Alan3354(30957)

Question 315818: solve. where appropriate, include approximations to the nearest thousandth. if no solution exists, state this.
2^(x+1) = 4
Click here to see answer by Alan3354(30957)

Question 315786: log (base x)0.05 = -1/2
Click here to see answer by nerdybill(6948)

Question 316077: 1. Solve log(6x+5)=0
2. use natural logarithms to solve this equation. Round to the nearest thousandeth.
6e^4x-6=15
3.e^x=3/4
Click here to see answer by solver91311(16868)

Question 316105: evaluate log[2]8+log[2]16
Click here to see answer by jim_thompson5910(28476)

Question 316093: 1. Solve log(6x+5)=0
2. use natural logarithms to solve this equation. Round to the nearest thousandeth.
6e^4x-6=15
3.e^x=3/4

Click here to see answer by nerdybill(6948)

Question 316242: How do you find the x and y intercepts of a log function?
Example: f(x) =
I know that you need to let one variable equal 0 to solve for the other, but I am completely lost when it comes to the log on what to do! I've heard to cancel it out on one side (when solving for x) you need to change the x of the log (the 4 in this case) to an exponent on the base, but I'm not sure...
Click here to see answer by vleith(2825)

Question 316267: Hi. I need to express the logarithmic expression:
logsuba((xsqrta)/y^2)) in terms of x and y.
I know that when expanding logs, division becomes subtraction; so this would be:
logsubaXsqrta - 2logsubaY .
The part I need help understanding is how to get rid of the sqrta in order to get the answer:
logsubaX - 2logsubaY + 1/2
If you can help, it would be much appreciated! Thanks!
~hbanana
Click here to see answer by Earlsdon(6287)

Question 316456: The signal to a speaker causes .5 amps of current. The signal level is increased to 2.5 amps. What is the gain, rounded to the nearest decibel?
I'm really stuck, please help me!
Click here to see answer by ankor@dixie-net.com(15623)

Question 316458: An amplifier has an input power of 5 mW. The output power is 100 mW. What is the decibel gain to the nearest decibel?
Click here to see answer by ankor@dixie-net.com(15623)

Question 316702: Can you please show me how to do the following problem: Find all real solutions to the equations a) ln^2x-5ln^x=-6
and
b) 2 * ln(x)= ln(36)
thank you!!!
Click here to see answer by jim_thompson5910(28476)

Question 316765: please help me solve for x,y,z
2x+2y-z=8
2x+y+3z=0
x-2y+2z=-2

Click here to see answer by Fombitz(13828)

Question 316967: why isn't ln(12 + x) = (ln12)(lnx), What is the rule that disproves this.
Thanks
Click here to see answer by Fombitz(13828)

Question 316944: You invest $1,100 in an account that has an annual interest rate of 2.1%, compounded continuously. How much money will be in the account after 7 years? Round your answer to the nearest whole number.
Click here to see answer by checkley77(12569)

Question 317034: How do you write the expression 2 ln x-4 ln (1/y) - 3 ln (xy) as one logarithm?
Click here to see answer by stanbon(57216)

Question 317042: How do you find a polynomial of degree 3 with leading coefficient 1 with zeros 2, 4, and -6?
Click here to see answer by stanbon(57216)

Question 317040: If f^-1(x)=3(square root symbol) 2-x, what is f(x)?
Click here to see answer by stanbon(57216)

Question 317035: How do you work the following problem:
f(x)=x^4-25x^2+144
I know I set the equation to equal zero, but am unsure what to do after that!
Click here to see answer by scott8148(6628)

Question 317037: How do you find a polynomial of degree 3 with zeros -3, -2 and 0 where f(-4)=16?
Click here to see answer by Fombitz(13828)

Question 317476: Solve the following equation. Show all work.

Click here to see answer by Edwin McCravy(8879)

Question 317772: Write as a single logarithm.
ln5x+4(lnx-lny)
Click here to see answer by jim_thompson5910(28476)

Question 317778: find log 4
64
Click here to see answer by jim_thompson5910(28476)

Question 317776: Change to an equivalent equation by using a logarithm a^4=6.1
Click here to see answer by unlockmath(1599)

Question 317830: Solve for x

I did
x =
x =
x = 1.98
But apparently my answer is wrong.
Click here to see answer by josmiceli(9647)

Question 317773: Please help me solve. 49^-2x=1/7
Click here to see answer by Fombitz(13828)

Question 317774: 2ln(x+4)-ln25=2
Click here to see answer by Fombitz(13828)

Question 317869: assuming only that ln a =x and ln b =y please calculate
ln(a^2b)
please show working.
Click here to see answer by nerdybill(6948)

Question 318019: assuming only that ln a=x and ln b=y
please calculate
ln(a^2.b)
thankyou
Click here to see answer by stanbon(57216)

Question 318019: assuming only that ln a=x and ln b=y
please calculate
ln(a^2.b)
thankyou
Click here to see answer by Earlsdon(6287)

Question 318193: please solve the following equation
3^x = 5
Click here to see answer by Fombitz(13828)

Question 318300: What is a logarithm and how do I find it?
Click here to see answer by Edwin McCravy(8879)

Question 318300: What is a logarithm and how do I find it?
Click here to see answer by Alan3354(30957)

Question 318345: solve 81^5x+3=243^3x using logarithms
Click here to see answer by solver91311(16868)

Question 318554: I need to find log a 0.25 with the given values of log a 2=0.431 and log a 8=1.292 The problem should read as the logarithm of .25 with a base of a.
Click here to see answer by Fombitz(13828)

Question 318565: I need to find just: a
With the given values of log a 2=0.431 and
log a 8=1.292
The given values should read as logarithm of 2 with a base of (a) equals 0.431 and
logarithm of 8 with a base of (a) equals 1.292
Thanks your help is extremly appreciated.
Click here to see answer by Fombitz(13828)

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