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

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Question 719183: What is the value of e 2/4 rounded to 4 decimal places
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Question 719397: Can you please help me solve: 2.9^a-4 =8.1 ?
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Question 719786: log base 7 (x+4) - log base 7 (x) = 2
How would I solve this?
log%287%2C%28x%2B4%29%29-log%287%2Cx%29=2

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Question 719777: (log2 x )^2 - log2 x^2 > 0
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Question 719800: (2^x)(3^x)=1296

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Question 717018: determine the inverse for each of the following functions if it exists. show your work.
a) f(x) = 7^x
b). f(x) = log2 (x+3) -5
c). f(x). = e^(x+3) -3

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Question 716005: I need help in finding quarterly interest. The question is: The bank guarantees to triple your money in 10 years if you open an account this month. The interest rate will be compounded quarterly. What is the quarterly interest rate?
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Question 719905: e^x-e^-x=10
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Question 720427: how do i solve 243^x+1=81^3
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Question 720583: how do you write the inverse of f(x)=x-(9/10)
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Question 720760: 2/log(base x)4 + 3/log(base 4)x = 7
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Question 720819: logbase2 (x-2)=3 A. 7, B. 10, C. 11, or D. 6
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Question 720774: Use v = - 0.0098t + c ln R, where v is the velocity of the rocket, t is firing time and c is velocity of exhaust R is ratio of the mass of the rocket filled with fuel to the mass of rocket without fuel
Find the velocity of a space craft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.7 Km/s, and a firing time of 30s. Can the space craft achieve a stable orbit 300km above earth

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Question 721289: Is this an exponential function? For those that are state the initial value, and the base. For those are not, explain why not.
y=4^2

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Question 721339: If log20 = x then, find the exact value of A such that logA = 2x
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Question 721351: This is a three part question A + B + C but I'm stuck here on "C"
Let C be equal to the sum of the real solutions of log(base 4) of (x + 3) + log(base 4) 0f (x - 3) = 2

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Question 721358: Given that x = log3 and y = log5, then find: the value of log500 in terms of x and/or y
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Question 721419: Let B equal to the largest solution of 3^5x multiplied by 9^x^2=27
I hope I typed it in right its 3 raised to the 5x power and 9 raised to the power of x raised to the power of 2

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Question 721356: Given that 192 = 2^x multiplied by 3^y find: A = x + y
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Question 721347: If log20 = x then, Find the exact value of B such that log B = x + 3
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Question 721950: For a particular real number a and base b it is known that log(base b)a=2.75. Determine the value of log(base b)(a^3)
I tried:
a=b^2.75
substitute
log(base b)((b^2.75)^3)
b^1=b^8.25 didn't make any sense

Click here to see answer by lwsshak3(11628) About Me 

Question 722186: Find the exact value sqrt (e)^5
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Question 722950: I have three simple questions about the domain and range of functions:
1). +sqrt(x-1)
2). (10^x)+3
3). Log base 2(x-3)
Thank you!

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Question 723677: the volume of a cube is found by using the formula l to the 3rd power, where l is the side length. of the side length is 3x squared, what is the volume of the cube?
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Question 723505: log(x-4)-log(x-5)=2

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Question 723424: solve for x: 3^x-2=1/27

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Question 723738: 4^7x-1=16
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Question 723632: what is the answer to this equation? 3 log x^2-(log(-x))^2=9
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Question 724486: log(base x^2)5
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Question 725031: f(x) = 7x + 4, find a formula for f^-1(x)
f^-1(x)=

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Question 725094: A sample of 800 grams of radioactive substance decays according to the function A(t)=800e^-0.028t, where t is the time in years . How much of the substance will be left in the sample after 10 years? Round to the nearest whole gram.

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Question 724900: let f(x)
√x+2
-----
x
if possible find the values of f(2), f(-2), f(-4), f(0).
what is the domain of f(x)?
thanks

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Question 725121: A professional basketball player has a vertical leap of 37 inches. A formula relating an athlete's vertical leap v, in inches, to hang time T, in seconds, is V=48T^2. What is his hang time ? Round to the nearest tenth.

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Question 725430: How do I set up the problem for the square root of log 425000 without a calculator? I must show my work. Thank you,
-Adeline Border


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Question 725118: Book sales on the internet (in billions of dollars ) in year x are approximated by f(x)=1.84+2.1 .in x, where x=0 corresponds to 2000. How much will be spent on internet book sales in 2008? Round to the nearest tenth.

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Question 725850: I need help finding the exponential equation of a line that passes through both (0,2) and (2,8) please
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Question 726261: Stuck on solving this type of question.
x^8 + x^16 = 1.
Also if you have time
2*x^16(x^(8)-1) = x^24 - 1
These are arising in financial mathematics problem I am working on.
I do know the answers as they are given, but no idea how to simplify or solve this problem by hand.

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Question 726265: When interest is compounded continuously, the balance in an account after t years is given by P(t)=PO^e^kt, where PO is the initial investment and k is the interest rate. Suppose that PO is invested in a savings account where interest is compounded continuously at 8% per year. Express P(t) in terms of PO and 0.08
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Question 726405: I need to solve the equation 3^2x+3^(x+1)-4=0, plus I need to verify it with a graphing utility
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Question 726619: Skid mark analysis is one way to estimate the speed a car was traveling prior to an accident. The speed, s, that the vehicle was traveling in miles per hour can be approximated by the formula s=square root 30df, where d represents the length of the skid marks in fee and "f" represents the drag factor of the road. A vehicle that was involved in an accident on an asphalt road was traveling at a speed of 45 mph when it started skidding. If the drag factor for asphalt is 0.75 find the length of the skid marks made by the car. The skid marks made by the car were approximately___________ feet long.
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Question 727395: Find Inverse of y=3e^x+5, Sketch graph of both functions..Trying to understand notes & work out, please show me the correct way. Thanks :)
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Question 727726: logx-log(x/100)= x
what are the steps to complete this problem?

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Question 727726: logx-log(x/100)= x
what are the steps to complete this problem?

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Question 727727: 2-log3x = log(x/12)
how would you go about solving this problem?

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