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 41306: Find Positive Root:
Click here to see answer by Earlsdon(6294)

Question 41300: I am getting stuck on this one:
1/8=4^5x-2
Please Help
Click here to see answer by psbhowmick(878)

Question 41370: If log (base of 3) 8=1.8928 and log (base of 3) 2=0.6309, what is the value of log (base of 3) 16?
Click here to see answer by venugopalramana(3286)

Question 41642: The directions for the problem is "Solve each equation for x to three significant digits� the problem is . I tried changing it to but I couldn�t find anywhere to go after that. I would appreciate if you could help me figure this one out. Please and thanks!
Click here to see answer by fractalier(6550)

Question 42238: Find the domain and range of the function: y=1/2(2)^x.
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Question 42247: Solve (1/81)^t = 243^t-2.
Thanks
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Question 42251: Write the equation log(243) 81=4/5 in exponential form.
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Question 42263: Solve: 4+3e^(5x)= 27.
Tjank you
Click here to see answer by fractalier(6550)

Question 42266: At a town with a large convention center, the cost of a hotel room has increased 5.1% annually. If the average hotel room cost $48.00 in 1980 and this growth continues, what will an average hotel room cost in 2012?
Use y=a(1+r)^t and round to the nearest cent.
Click here to see answer by fractalier(6550)

Question 42265: A particular compound decays according to the equation y=ae^(-0.974t), where t is in days. Find the half-life of this compound.
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Question 42264: Solve 1n (x+5) >or= 2.
Thank you
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Question 42262: Evaluate: 1n e^(-9x).
thank you
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Question 42260: Solve 5^(2x+1) >or= 50.
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Question 42261: Use common logarithms to approximate log(9) 207 to four decimal places.
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Question 42258: Solve log(4) (m-3) + log(4) (m+3)=2.
thanks
Click here to see answer by fractalier(6550)

Question 42257: Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5)=54.
thanks
Click here to see answer by fractalier(6550)

Question 42255: Solve log(2) (7x-3)>or=log(2) (x+12).
Thank you
Click here to see answer by fractalier(6550)

Question 42254: Solve log(1/8) x=-1.
thank you
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Question 42252: Evaluate 9^(log9 54).
Click here to see answer by fractalier(6550)

Question 42249: Solve 64^x<32^(x+2.
Thanks
Click here to see answer by fractalier(6550)

Question 42239: Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x=-2.
Click here to see answer by Nate(3500)

Question 42289: for the given funtions f and g, find
(a) (f o g)(4) (b)(f o g)(2) (c)(f o f)(1)
f(x)=2x; g(x)=3-1/2x^2
Click here to see answer by nik_consult(24)

Question 42569: 500x=(x-5)(500+5x)
How many studentsattended the get-together
Click here to see answer by Nate(3500)

Question 42553: Write the equation 4^-3 = 1/64 in logarithmic form.
Click here to see answer by fractalier(6550)

Question 42552: If y varies inversely as x and y = 3, = when x = 6. Find y when x = 36.
Thanks
Click here to see answer by fractalier(6550)

Question 41485: How do I solve
5^x = 202 (that's 5 raised to the x power = 202)
Click here to see answer by Nate(3500)

Question 42585: Cant remember how to solve this can anyone help
4000exp(-400t)-50000exp(-1000t)-64000exp(-1600t)=0
Click here to see answer by rapaljer(4671)

Question 42664: The concentration C = C(t) of chlorine in the tank t hours after flushing begins is given by C=0.1+2.78e to the -0.37t mpg.
-what is the initial concentration of chlorine in the tank?
-express the concentration of chlorine in the tank after 3 hours.
ps - i need to know how to work the problem specifically.
Thanks
Click here to see answer by fractalier(6550)

Question 42859: Solve: 6^(n+1)>=10. Round to four decimals.
Thanks
Click here to see answer by fractalier(6550)

Question 42858: Simplify: (4m/5n^2)-n/2m.
Thank You
Click here to see answer by fractalier(6550)

Question 42554: Solve: 6^(n+1) >or= 10. Round to four decimals places.
Thanks
Click here to see answer by fractalier(6550)

Question 36249: express the logarithm in terms of log2 M and log2 N: log2 cube root of M^2N
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Question 43673: 8(3^6-x)=40
What is the easiest way to solve for X.
Click here to see answer by Nate(3500)

Question 43771: Evaluate: logx 16 = -2
Click here to see answer by Nate(3500)

Question 43770: Evaluate: 4^x-2 = 1/8
Click here to see answer by Nate(3500)

Question 43772: Evaluate: e^2 1n3
Click here to see answer by Nate(3500)

Question 43879: Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5) 12.
thanks
Click here to see answer by stanbon(75887)

Question 43878: Solve to four decimal places: log(6) 6^9.
Thanks
Click here to see answer by stanbon(75887)

Question 43874: Solve to four decimal places:log(4) (x-9)=2.
Thank You
Click here to see answer by longjonsilver(2297)

Question 43875: Solve to four decimal places: log(4) z+log(4)(z-3)=1.
Thanks
Click here to see answer by longjonsilver(2297)

Question 43876: Solve to four decimal places: 3.9^(m-4)=10.21.
Thanks
Click here to see answer by longjonsilver(2297)

Question 43943: Assume that y varies inversely as x. If y = 4 when x = 1/2, find y when x = 2
Click here to see answer by fractalier(6550)

Question 43956: In a certain area, the sale price of new single-family homes has increased 4.1% per year since 1992. If a house was purchased in this area in 1992 for $75,000 and the growth continues, what will the sale price be in 2006? Use y=a(1+r)^t and round to the nearest cent.
Thanks
Click here to see answer by adamchapman(301)

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