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

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Question 42259: Solve 6^3n =43^(5n-4).
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Click here to see answer by fractalier(1804)

Question 42249: Solve 64^x<32^(x+2.
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Click here to see answer by fractalier(1804)

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(3495)

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(3495)

Question 42553: Write the equation 4^-3 = 1/64 in logarithmic form.
Click here to see answer by fractalier(1804)

Question 42552: If y varies inversely as x and y = 3, = when x = 6. Find y when x = 36.
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Question 41485: How do I solve
5^x = 202 (that's 5 raised to the x power = 202)
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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(3620)

Question 42664This question is from textbook functions and change
: 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.
ThanksThis question is from textbook functions and change

Click here to see answer by fractalier(1804)

Question 42859: Solve: 6^(n+1)>=10. Round to four decimals.
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Question 42858: Simplify: (4m/5n^2)-n/2m.
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Question 42551: Simplify: (4m/5n^2)-(n/2m).
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Question 42554: Solve: 6^(n+1) >or= 10. Round to four decimals places.
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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(3495)

Question 43771: Evaluate: logx 16 = -2
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Question 43770: Evaluate: 4^x-2 = 1/8
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Question 43772: Evaluate: e^2 1n3
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Question 43879: Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5) 12.
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Click here to see answer by stanbon(26259)

Question 43878: Solve to four decimal places: log(6) 6^9.
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Question 43877: Solve to four decimal places: e^(3x)> or = 21.
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Question 43874: Solve to four decimal places:log(4) (x-9)=2.
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Click here to see answer by longjonsilver(2297)

Question 43875: Solve to four decimal places: log(4) z+log(4)(z-3)=1.
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Question 43876: Solve to four decimal places: 3.9^(m-4)=10.21.
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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(1804)

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.
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Click here to see answer by adamchapman(301)

Question 44023This question is from textbook
: (8 to the 1/3 power) raised to the 4th powerThis question is from textbook

Click here to see answer by stanbon(26259)

Question 43957: Evaluate: (log(5) 20^4)(log(20) 5^4).
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Question 44665This question is from textbook Algebra and Trigonometry with Analytic geometry

: 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.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by stanbon(26259)

Question 44663This question is from textbook Algebra and Trigonometry with Analytic geometry

: 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.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by stanbon(26259)

Question 44728This question is from textbook Algebra and Trigonometry with Analytic geometry

: 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.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by adamchapman(301)

Question 44727This question is from textbook Algebra and Trigonometry with Analytic geometry

: 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.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by venugopalramana(3286)

Question 44662This question is from textbook Algebra and Trigonometry with Analytic geometry

: 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. This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by OHtutor(16)

Question 44662This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by Nate(3495)

Question 44935This question is from textbook Algebra and Trigonometry with Analytic geometry

: 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.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by venugopalramana(3286)

Question 44932This question is from textbook Algebra and Trigonometry with Analytic geometry

: solve log a (8x+5)=log a (4x+29) My answer is 6, is that right. thanks for checking.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by venugopalramana(3286)

Question 44934This question is from textbook Algebra and Trigonometry with Analytic geometry

: 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.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by Nate(3495)

Question 44931This question is from textbook Algebra and Trigonometry with Analytic geometry

: Find the number log5(1/5). my answer is -1 but not sure. thanks for checking.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by venugopalramana(3286)

Question 44931This question is from textbook Algebra and Trigonometry with Analytic geometry

: Find the number log5(1/5). my answer is -1 but not sure. thanks for checking.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by Chris435435(8)

Question 44931This question is from textbook Algebra and Trigonometry with Analytic geometry

: Find the number log5(1/5). my answer is -1 but not sure. thanks for checking.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by atif.muhammad(135)

Question 44933This question is from textbook Algebra and Trigonometry with Analytic geometry

: The amount A in account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A = Pe^rt where r is expressed as a decimal. Solve this formula for t in terms of A,P and r.
My answer would be t=1n{AP/r} is this right. Thanks soooo much for looking at this question.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by Nate(3495)

Question 44930This question is from textbook Algebra and Trigonometry with Analytic geometry

: The amount A in account after t years of an initial principle P invested at an annual rate r compounded continuiusly is given by A = Pe^rt where r is expressed as a decimal. What is the amount in the account if $500 is invested for 10 years at the rate of 5% compounded continuously? My answer is $750.00, thanks for checking my answer.This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by venugopalramana(3286)

Question 44930This question is from textbook Algebra and Trigonometry with Analytic geometry

Click here to see answer by Nate(3495)

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