Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 421814: simplify log5 3125
Click here to see answer by richard1234(7193)

Question 421859: how do you solve log6x+ log6 (x+16)= 2 ?
Click here to see answer by solver91311(24713)

Question 421691: 4e^-2x=17
Click here to see answer by jsmallt9(3758)

Question 421970: Find each value of x.
2^log2 ^5=x
Click here to see answer by Alan3354(69443)

Question 422152: How do you evaluate log base 3(1/81) ?
Click here to see answer by MathLover1(20850)

Question 422306: 4^x = 128
Click here to see answer by jsmallt9(3758)

Question 422283: 3log2x=15 the 2 is actually small.
Click here to see answer by ewatrrr(24785)

Question 422285: can you help me with this ..
solve for x : log5(10x+4) - log5 2 = 1/2log5 49 + 2log5 4
ALL THE 5'S ARE ACTUALLY SMALL, i just didnt no how to do it on my keybored, thanks for the help!
Click here to see answer by ankor@dixie-net.com(22740)

Question 423100: find the inverse of the following function
y=(2^x)-3
Click here to see answer by jsmallt9(3758)

Question 423247: how do you change log y=ax+b to y=ab^x. this is for a a project and neither my dad nor I could figure it out.Please Help1

Click here to see answer by jsmallt9(3758)

Question 423391: If after 8 hr there are 8,262 bacteria remaining in a culture taht started with 6,000, how many would be present after 24 hr?
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Question 423391: If after 8 hr there are 8,262 bacteria remaining in a culture taht started with 6,000, how many would be present after 24 hr?
Click here to see answer by ewatrrr(24785)

Question 423794: i dont understand why im getting 1/2 for my answer when i work the equation log2 16 out when the answer is 4 what i did was reworte the problme out which is log 2 16 log2 16=x 16=2x 4 2=(2)1 x 4 2=2 1x =2/1=x but when i do 2/1 *2/1 i get 4 what im doing wrong
Click here to see answer by ankor@dixie-net.com(22740)

Question 423948: The speed of a ball dropped from a tower is given by the linear function f(t)=32t where f(t)is in feet per second and t is the number of seconds since the ball was dropped. Find the speed of the ball after 10 seconds.

thanks
Click here to see answer by Alan3354(69443)

Question 423945: 4x=14-3y is a function? 2=6yx is a function? x=y2 is a function , y=10/6-x is a fuction?
Click here to see answer by linht117(37)

Question 424108: write an exponential function through (0, -5) and (-3, -4)
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Question 424435: loga x + loga(x-2)=loga3
Click here to see answer by Gogonati(855)

Question 424522: A regular octagon has sides of "s". Find a formula for the distance between parallel sides of the octagon. I can solve this with trig but can't solve with algebra. this was from a section using square roots in equations. I'm embarrassed to say I'm the teacher. cmartin21811@yahoo.com
Click here to see answer by htmentor(1343)

Question 425001: which radical expression is equivalent to 3 3/4
Click here to see answer by jim_thompson5910(35256)

Question 425275: Hello, I need help with an exponential growth model word problem :
The population of Houston Texas was 2.30 million in 1990, and 2.65 million in 2000. Using an exponential growth model, , sketch a graph of the population beginning in 1990 and find the predicted population in 2010
I checked my exponential growth notes but the formula was not the same it is: and we found the vertex from that (which is the "h" and "k"), then made our graphs. I checked online and there was a calculater for it and that gave me an answer of 76.16554 which I do not think has anything to do with this question. Thank you so much for your time.
Click here to see answer by stanbon(75887)

Question 425655: How do I find the growth rate between 1980 and 1990 assuming exponential growth. If in 1980 it was 825 and in 1990 it was 2810? I'm so confused on the formula.
Click here to see answer by stanbon(75887)

Question 425964: You buy a used truck for $22,000 . It depreciates at the rate of 10% per year. What is the value of the truck after 4 years?
I got 14,434.20.
Click here to see answer by Alan3354(69443)

Question 426046: How would I solve x^2 + 3x � 4 = 0 and please show steps in solving it if possible so I can see how it is done.
Thank you!
Click here to see answer by ewatrrr(24785)

Question 426274: Find the Inverse
x
1.) f(x)=2
x
2.) g(x)=[1/3]

(x)
3.) y=e
Click here to see answer by solver91311(24713)

Question 426300: R(t) = 1150/0.5+22.5(2.2)^-0.065t
the exponent is -0.065t
t = is the number of weeks after the research team first introduced the rabbits into the forest.
I figured out the below answers and they are right, I cannot figure out this, the rabbit population approaches ________ as time goes on?

the research team brought 50 rabbits to the forest (t=0)
how many rabbits can be expected after 10weeks = 82 rabbits (t=10)
how many rabbits can be expected after the first year = 557 rabbits (t=52)
how many rabbits can be expected after 4 years = 2298 rabbits (t=208)
how many rabbits can be expected after 5 years = 2300 rabbits (t=260)

Click here to see answer by jsmallt9(3758)

Question 426406: square root of 16e^10
Click here to see answer by Alan3354(69443)

Question 426570: simplify without using a calculator:
1.) 8^2/3
2.) 16^-3/2
3.) numerator is 2^1/5
denominator is 2^-6/5

I really Appreciate this! thank you so much!
Click here to see answer by ewatrrr(24785)

Question 426576: write the equation in exponential form. Assume that all constants are positive and not equal to 1.
1.) log2 16=4
2.) log16 2=1/4
write the equation in logarithmic form. Assume that all variables are positive and not equal to 1.
1.) 2^z=y
solve the equation.
5+4*LN=2
find the product:
1.) (z-4)*(z-8)
2.) (3/4 of x-2)*(3/4 of x+2)
Thank you so much for your help!
Click here to see answer by ewatrrr(24785)

Question 427145: ln x + ln (x-2) = 1
Click here to see answer by nerdybill(7384)

Question 427148: 3 + 2 ln x = 10
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Question 427230: f(x)=LogX
Click here to see answer by richard1234(7193)

Question 427374: Solve for t: 3e^t/2-12=0
Click here to see answer by Gogonati(855)

Question 427569: solve for x
2^(x+1)=2^3x
Click here to see answer by John10(297)

Question 427582: Find the solution of the exponential equation 4e^x = 10 in terms of logarithms, or correct to 4 decimal places. Please and thank you!
Click here to see answer by John10(297)

Question 427586: Find the solution of the logarithmic equation ln x = 4 in terms of logarithms or correct to four decimal places. I seem to struggle with logarithms. Please explain this to me! Thanks
Click here to see answer by John10(297)

Question 427588: write in logarithmic form
3^(1/2)=√3
Click here to see answer by richard1234(7193)

Question 427632: Find the solution of the logarithmic equation log(3x+2) = 3 in terms of logarithms, or correct to 4 decimal places. x = ?
Click here to see answer by nerdybill(7384)

Question 427633: Please find the solution of the exponential equation 15^x = 4 in terms of logarithms or correct to 4 decimal places. x = ?
Click here to see answer by nerdybill(7384)

Question 427633: Please find the solution of the exponential equation 15^x = 4 in terms of logarithms or correct to 4 decimal places. x = ?
Click here to see answer by ewatrrr(24785)

Question 427631: Find the solution of the exponential equation 1000(1.04)^2t = 500,000 in terms of logarithms or correct to 4 decimal places. Please and thank you!
Click here to see answer by nerdybill(7384)

Question 427370: solve for x: e^-5x*e^4=e
Click here to see answer by ankor@dixie-net.com(22740)

Question 427585: Find the solution of the exponential equation 15^x = 4 in terms of logarithms, or correct to at least 4 decimal places. Please help!
Click here to see answer by Gogonati(855)

Question 428183: Graph each function on the same coordinate plane. List any similarities and differences between graphs.
y=3^x y=3^-x
Click here to see answer by solver91311(24713)

Question 428183: Graph each function on the same coordinate plane. List any similarities and differences between graphs.
y=3^x y=3^-x
Click here to see answer by htmentor(1343)

Question 428452: ln2.5x=10
Click here to see answer by Alan3354(69443)

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