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

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 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 42553: Write the equation 4^-3 = 1/64 in logarithmic form. Click here to see answer by fractalier(2101)

 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(2101)

 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(4667)

 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(2101)

 Question 42554: Solve: 6^(n+1) >or= 10. Round to four decimals places. Thanks Click here to see answer by fractalier(2101)

 Question 36249: express the logarithm in terms of log2 M and log2 N: log2 cube root of M^2N Click here to see answer by fractalier(2101)

 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 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(57412)

 Question 43878: Solve to four decimal places: log(6) 6^9. Thanks Click here to see answer by stanbon(57412)

 Question 43877: Solve to four decimal places: e^(3x)> or = 21. Thanks Click here to see answer by stanbon(57412)

 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 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(2101)

 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)
 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 fractalier(2101)

 Question 44023: (8 to the 1/3 power) raised to the 4th power Click here to see answer by stanbon(57412)

 Question 44665: Solve the equation 4^2x+1=2^3x+6. I have no answer for this one but I didn't try. thanks for looking at this problem for me. If I could see how it is worked out that would help. Click here to see answer by stanbon(57412)

 Question 44663: For the function defined by f(x)= 2-x^2, 0 less or equal than x, use a sketch to help find a formula for f^-1(x). My answer is f^-2(x)= squrt2-x, x less or equal than 2. This I'm not sure of. Thanks as always for looking at my post. Click here to see answer by stanbon(57412)

 Question 44728: If piece of real estate purchased for \$75.000 in 1998 appreciates at the rate of 6% per year, then it's value t years after the purchase will be f(x)= 75.000(1.06^t). According to this model, by how much will the value of this piece of property increase between the years 2005 and 2008. My answer is 21,500 is that right. thanks for checking. Click here to see answer by adamchapman(301)

 Question 44727: Find an exponential function of the form f(x)= ba^x+c with y intercept 2, horizontal asymptote=-2, that passes through the point P(1,4). My answer is f(x)= 2(1.5^x)-2. Thanks for the help. Click here to see answer by venugopalramana(3286)

 Question 44662: For the function defined by f(x)=5x-4, find a formula for f^-1(x). This one I tried many ways of finding an answer. My answer is f^-1(x)= 1 divided by 5x-4 but not sure if thats right. Thanks for checking my answer. Click here to see answer by OHtutor(16)
 Question 44662: For the function defined by f(x)=5x-4, find a formula for f^-1(x). This one I tried many ways of finding an answer. My answer is f^-1(x)= 1 divided by 5x-4 but not sure if thats right. Thanks for checking my answer. Click here to see answer by Nate(3500)

 Question 44935: Given that log a (x)=3.58 and log a (y)=4.79. find loga(y/x). My answer is 8.37, is this right. thanks for looking at answer. Click here to see answer by venugopalramana(3286)

 Question 44932: solve log a (8x+5)=log a (4x+29) My answer is 6, is that right. thanks for checking. Click here to see answer by venugopalramana(3286)

 Question 44934: The decibel level of sound by D=10 log(I/10^-12), where I is the sound intensity measured in watts per square meter. Find the decible level of a whisper at an intensity of 5.4 times 10^-10 watts per square meter. After working at this one for some time I came up with 37.3 is this right. thanks for checking my answer. Click here to see answer by Nate(3500)

 Question 44931: Find the number log5(1/5). my answer is -1 but not sure. thanks for checking. Click here to see answer by venugopalramana(3286)
 Question 44931: Find the number log5(1/5). my answer is -1 but not sure. thanks for checking. Click here to see answer by Chris435435(8)