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 1009860: The substitution u=2^x can be used to convert the equation 4^x−2^(x+1)−15=0
to the form u^2+au+b=0
Ho2 do I find the value of a and b?
Click here to see answer by josmiceli(19441)

Question 1009879: Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.
(x-8)/(3^8) = sqrt ( 3)
The solution set is { }
Click here to see answer by Theo(13342)

Question 1010384: Directions: The exponential models describe the population of the indicated country, A, in millions, t years after 2006. Use these models to solve. India A=1095.4e^0.014t Iraq A=26.8e^0.027t Japan A= 127.5e^0.001t Russia A=142.9e^-0.004t
Which country has a decreasing population? By what percentage is the population of that country decreasing each year?
Click here to see answer by Theo(13342)

Question 1010383: Directions: The exponential models describe the population of the indicated country, A, in millions, t years after 2006. Use these models to solve. India A=1095.4e^0.014t Iraq A=26.8e^0.027t Japan A= 127.5e^0.001t Russia A=142.9e^-0.004t
Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?
Click here to see answer by Theo(13342)

Question 1010625: Cesium-142 has a half life of 50 years. If there are 20 grams now:
a. Fill in the equation y=ab^x
b. Find the growth factor (b) for this exponential function
Click here to see answer by josgarithmetic(39620)

Question 1010859: A baseball player has been improving every season since making it to the big leagues. Below is a table of the runs he has scored. His manager wants to try to determine when he will score 256 runs.

Season runs
1 2
2 4
3 8

Explain how to create the exponential function that represents his run-scoring abilities. Then explain how to convert this function into a logarithmic function and why this can help the manager answer his question. please use details.

Click here to see answer by rothauserc(4718)

Question 1011074: Evaluate f(x)=4x+3 for f(-5)
Click here to see answer by Theo(13342)

Question 1011431: Which is equal to 10?
A OR B?
screenshot of question below : ( can't type it on this).
http://prntscr.com/9hst88
thanks :)

Click here to see answer by josgarithmetic(39620)

Question 1011474: What is the inverse function of
Click here to see answer by josgarithmetic(39620)

Question 1011474: What is the inverse function of
Click here to see answer by MathTherapy(10552)

Question 1011734: LOG X + LOG (X-7) = LOG(X+11) + LOG2
Click here to see answer by macston(5194)

Question 1011734: LOG X + LOG (X-7) = LOG(X+11) + LOG2
Click here to see answer by addingup(3677)

Question 1011871: log base 4 of 8=
Click here to see answer by ikleyn(52800)

Question 1011871: log base 4 of 8=
Click here to see answer by josgarithmetic(39620)

Question 1011871: log base 4 of 8=
Click here to see answer by MathTherapy(10552)

Question 1011869: solve this equation e^3t=142
Click here to see answer by MathLover1(20850)

Question 1011869: solve this equation e^3t=142
Click here to see answer by MathTherapy(10552)

Question 1011868: a. Solve this equation 5*10^X=2750
Click here to see answer by Theo(13342)

Question 1011897: Good Morning friends,
I need to understand and figure out the function values. Simplify and show my work. this seems to be one long question and I am so confused. Thanking you in advance, Betty
Simplify or is the root a real number
f(x)= 3 square root x-6
find f(-21)
find f(33)
find f(131)
find f(-2)

Click here to see answer by Cromlix(4381)

Question 1011967: Write the following equation in its equivalent exponential form.

4 = log2 16. How do
I do that and please help me solve
Click here to see answer by josgarithmetic(39620)

Question 1011967: Write the following equation in its equivalent exponential form.

4 = log2 16. How do
I do that and please help me solve
Click here to see answer by ikleyn(52800)

Question 1012071: So the question is as follows:
"If log 2 + 0.301 and log 3 + 0.447, find each of the following using only these values and the properties of logarithms. Show your work.
a. log 6
b. log (2/3)
c. log 1.5
d. log 18"
my teacher stopped teaching the lessons because we have a limited time before exams, so she started assigning videos to watch. I watched the assigned ones, and many more but I just don't understand the question, I don't even really know what it's asking me to do.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1012074: Explain the connection between the exponential equation (10^3 x 10^5= 10^8) and the logarithmic equation (log10^3 + log10^5=log10^8)
Click here to see answer by ValorousDawn(53)

Question 1012079: Under what conditions is the function f(x) = a(3)^x increasing?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1012083: What ordered pair do f(x)=e^x and g(x)=2^x have in common?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1012082: is f(x)=e^x an increasing or decreasing function? Explain your reasoning.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1012078: For each exponential function, state the domain and range, whether the function increases or decreases, and the y-intercept.
a) y=2(4)^x
b) y=3(1/2)^x
c) y=-(0.3)^x
d) y=-3(5.2)^x
Click here to see answer by Theo(13342)

Question 1012180: Evaluate each expression without using a calculator.
a) log 1000
b) log 1
c) log2 + log 50
Click here to see answer by josgarithmetic(39620)

Question 1012180: Evaluate each expression without using a calculator.
a) log 1000
b) log 1
c) log2 + log 50
Click here to see answer by MathTherapy(10552)

Question 1012178: Tell whether or not each function is increasing. State 'increasing' or 'decreasing', and give the domain, range, and y-intercept of the function:
a) y=4(2/3)^x
b) y=-3(4)^x
Click here to see answer by solver91311(24713)

Question 1012270: Good evening Friends, I have some difficulties solving the following
logarithmic equation: (log2(x) - log0.5(x) -2)/(3log2(x) +2)=4
Has somebody a step by step solution to help me?
Thank you very much in advance
Click here to see answer by ikleyn(52800)

Question 1012179: Let g(x)=2(4)^x+3 - 5.
a) describe the function as a transformation of f(x)=4^x.
b) graph the function using your knowledge of transformations.
c) what is the horizontal asymptote of the graph of g?
Click here to see answer by FormerJosephStalin(2)

Question 1012454: Good evening, I have some difficulties with this logarithmic equation:
4log4((x+1)^(1/2)) - log2(5-7x)=0
I tried to solve changing the base in such a way:
4log4((x+1)^(1/2)) = (log4(5-7x))/log4(2)
but I do wrong somewhere solving the arguments.
Can somebody help me explaining the right method?
Many thanks

Click here to see answer by Boreal(15235)

Question 1012653: how do i simplify 1 / 5x to the power of -3?
Click here to see answer by Fombitz(32388)

Question 1012722: What is the value of f(x)=2(0.75)^X When x=3
Click here to see answer by macston(5194)

Question 1012722: What is the value of f(x)=2(0.75)^X When x=3
Click here to see answer by Fombitz(32388)

Question 1012722: What is the value of f(x)=2(0.75)^X When x=3
Click here to see answer by fractalier(6550)

Question 1012758: What is 3�10=(2�10)=(1�_)
Click here to see answer by ikleyn(52800)

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