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 183182: You deposit $800 in an account that pays 9% annual intrest compounded monthly. About how many years will it take for the account balance to reach $2400? Convert this to years and months.
Click here to see answer by Edwin McCravy(20059)

Question 183178: Find the solution to the equation log of x base 6+ log of (x+5) base 6=2
Check for extraneous solutions
Click here to see answer by edjones(8007)

Question 183364: please graph this:) thnks

y=(1/2)^x

y = �3x + 1

Click here to see answer by user_dude2008(1862)

Question 183363: please graph these>> thanks

y = 5x � 2

y = 3(2)^x

Click here to see answer by user_dude2008(1862)

Question 183354: Write an exponential function for a graph that includes the given points.

(0, 0.5), (1, 3)

(�1, 5), (0.5, 40)

Click here to see answer by checkley77(12844)

Question 183365: For the years 2000�2005, the median price of a single-family home in the United States can be approximated by the exponential function A = 227,200(1.087)t, where t is the number of years after the year 2000. What is the growth rate of housing prices for that period? What is the price of the house in the year 2005?

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Describe a situation that would be modeled by exponential growth. Write an exponential function to represent the growth.

Click here to see answer by stanbon(75887)

Question 183173: Condense the expression 3log4+8log x-2log8+4log y
Click here to see answer by Alan3354(69443)

Question 183435: factor the trinomial
x squared minus 5x minus 6
x2-5x-6
Click here to see answer by jim_thompson5910(35256)

Question 183439: factor the trinomial
x squared minus 5x minus 6
x2-5x-6
Click here to see answer by edjones(8007)

Question 183539: Write an exponential function for a graph that includes the given points.
please help with steps.. please:))
5. (0, 0.5), (1, 3)

6. (�1, 5), (0.5, 40)
Click here to see answer by jim_thompson5910(35256)

Question 183591: Find the solution to the equation
8^(4x+1)=16^(4x+2)
Click here to see answer by stanbon(75887)

Question 183593: Solve
ln(4x+3)=ln(7x+9)
log5x+log(x-1)=2
Click here to see answer by stanbon(75887)

Question 183688: Find x if e^1.7x = 3, and you are given ln3 = 1.0986.
Click here to see answer by eperette(173)

Question 183798: Differentiate each function. Express your answer in a simplified factored form
a)
b)
h)

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Question 184105:
log y 8=3/4
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Question 184111: log 3 (5x+1)=2
Click here to see answer by vleith(2983)

Question 184111: log 3 (5x+1)=2
Click here to see answer by Alan3354(69443)

Question 183940: please solve this for x
log x (to the power of log x)= 4
Click here to see answer by ankor@dixie-net.com(22740)

Question 184185: log4 x-log4 (x+3)= -1

Click here to see answer by solver91311(24713)

Question 184185: log4 x-log4 (x+3)= -1

Click here to see answer by Alan3354(69443)

Question 183941: please solve for x
log cube root of x= square root of log x
Click here to see answer by ankor@dixie-net.com(22740)

Question 184206: e^k-1=4
Click here to see answer by user_dude2008(1862)

Question 184251: 2e^5a+2=8
Click here to see answer by rapaljer(4671)

Question 184407: Evaluate the logarithm.
log 0.01
Click here to see answer by josmiceli(19441)

Question 184405: Solve log 5x + log 14=1. Round to the nearest hundredth if necessary.
Click here to see answer by ankor@dixie-net.com(22740)

Question 184514: A plane's air speed is 450 km/h, With a tail wind , the plane traveled 1050 km/h. On the return trip, the plane flew witha head wind that was 20km.h less than the tail wind. If the total flying time was 4.6 h, find the speed of the head wind
Click here to see answer by solver91311(24713)

Question 184660: what does this represent
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Question 184880: tell whether each function shows growth or decay. The graph
1. h(X)= 0.8(1.06X)
Click here to see answer by stanbon(75887)

Question 185032: Find the vertex and axis of symmerty of y=2X^2+6X I am lost on this on. I'm not sure what to do.
thank you very much
karen
Click here to see answer by stanbon(75887)

Question 185081: I hope someone can explain where I went wrong?????
The chemical element strontium has a half-life of 25 years. If 32g were present initially, how long will it take for the amount to be reduced to 2g? Set up an exponential equation and solve algebraically.
This is what I did:
y=32(1/2)^x/25
2=32(1/2)^x/25
2/32=1/2^x/25
1/16=1/2^x/5
Then I finished it using logs but my teacher said that I was supposed to solve it algebraically !!??!?!? HOW?
This is how I finished it:
(log(1/16)/ log(1/2))=(log(1/2)^x/5)/(log(1/2))
4=x/5
20=x
Click here to see answer by solver91311(24713)

Question 185084: SOLVE for x:
a) logbase3 x + logbase3 (x-8)=2
b) logbase4 (x+2)+logbase4(x-4)=2
c) logbase2 (5x-2)-logbase2 2 =1/2 logbase2 36 + 2 logbase2 3
Click here to see answer by edjones(8007)

Question 185115: little unsure about even root property
3x^2 -5=16

Click here to see answer by jim_thompson5910(35256)

Question 185124: 6^n-5 x 3^5-n Write as 2 raised to a power
Click here to see answer by J2R2R(94)

Question 185160: Write as a single logarithm and approximate the value to the nearest hundredth:
2logbase[5]3+logbase[5]96-(1/3)logbase[5}64
Click here to see answer by Alan3354(69443)

Question 185225: Solve 3^(2x+1)=2^(5x-2) to the nearest tenth
Click here to see answer by HyperBrain(694)

Question 185265: Solve for X...
e^-2x=1/e
Click here to see answer by Alan3354(69443)

Question 185267: 3^x=9√3
Click here to see answer by Alan3354(69443)

Question 185156: Hi:) I need some help:)
Solve for x:
1) logbase[5](x+1)+logbase[5](x-2)=logbase[5] 4
2) 1/3 logbase[3] 27+logbase[3] x = 4^(1/2)
3) logbase[2](x-6)+logbase[2](x)=4
4) logbase[4](2x+1)-logbase[4](x-2)=1
Click here to see answer by nerdybill(7384)

Question 185693: Find the value of x.
logx4/169=2
a) x=3/13
b) x=2/13
c) x=+-13/2
d) x=13/2
e) x=+-14/2
Click here to see answer by stanbon(75887)

Question 185701: If you've got a minute, can you please help with this algebra problem?
4100 = 100*((1+X)^20 -1)/X

I can also take this down to
41X+1 = (1+X)^20
but that doesn't help me
Click here to see answer by stanbon(75887)

Question 185781: Assume that x,y and z are positive numbers. Use the properties of logarithms to write the expression log (square root:5(x^4y^6/z^5) in terms of the logarithms of x, y, and z.
a) 4/5logx+6/5logy-logz
b) 6/5logx+4/5logy-logz
c)4/5logx+4/5logy+logz
Click here to see answer by Edwin McCravy(20059)

Question 185838: 2x=100
Click here to see answer by Bubbles92(6)

Question 185922: Please help me :)
1) You invest $18000 at 6% interest per year. Set up an exponential equation and use it to determine how much money you will have after 5 years.
2) The chemical element strontium has a half-life of 25 years. If 8g were present initialy, how long will it take for the amount to be reduced to 2g? Set up an exponential equation and solve algebraically.
3) Solve for x: 3^(4x-1)= 9^1/3
Click here to see answer by ankor@dixie-net.com(22740)

Question 186098: Help please!!
-3^(2-x) =-81
Click here to see answer by stanbon(75887)

Question 186125: log3 81=
Click here to see answer by Alan3354(69443)

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