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 398979: 5^2x+3=(square root 5)^x+4
Click here to see answer by jsmallt9(3758)

Question 398986: log y 16=-4
Click here to see answer by jsmallt9(3758)

Question 398987: log x cubed root of 9 =1/6
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Question 398989: log 7 n=-1/2
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Question 399427: How do I find the inverse of f(x) = 2^x?
Click here to see answer by nerdybill(7384)

Question 399581: I don't understand the steps that were taken to come up w/the answer. I also wrote out the exponent info in wording, being I could not figure out how to perform special characters on my computer.
3x(cube)-81y(cube) = 3(x-3y)(x(square)+3xy - 9y(square)

Click here to see answer by stanbon(75887)

Question 399600: write an exponential function of the form y = ab^x whose graph passes through the points given. (2, 12) (3, 144)
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Question 399603: y= 129 (1.63)x determine whether each function rpresents exponetial growth or exponetial decay
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Question 399800: log base(7)of(x+2)- log base(7)of(x-2)=log base(7)of 3?
Click here to see answer by jsmallt9(3758)

Question 399795: log base(3)3-log base(3)(x-1)=log base(3)2?
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Question 399711: 120. Global Warming. The increasing global temperature can be modeled by the function:
I = 0.1e^0.02t,
where I is the increase in global temperature in degrees Celsius since 1900, and t is the number of years since 1900 (NASA, www.science.nasa.gov).
A. How much warmer will it be in 2010 than it was in 1950?
B. In what year will the global temperature be at 4 degrees higher than the global temperature in 2000?

Click here to see answer by jsmallt9(3758)

Question 399595: rite an exponential function of the form y = ab^x whose graph passes thru the given points. (1,7), (2,49)
Click here to see answer by jsmallt9(3758)

Question 400119: i need help on log10=1
Click here to see answer by scott8148(6628)

Question 399707: 124. Acidity in your stomach
The gastric juices in your stomach have a hydrogen ion concentration of 10^-1 moles per liter. Find the pH of your gastric juices.
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Question 400969: please help me solve logb 27=3/2
Click here to see answer by rapaljer(4671)

Question 401119: At a wholesale food distribution center, the price of sugar
has increased 6.3% annually since 1980. Suppose sugar cost $0.43 per
pound in 1980 and this growth continues. What will a pound of sugar
cost in 2017? Use y = a(1 + r)^t and round to the nearest cent.
Click here to see answer by sofiyac(983)

Question 401275: log7(x) + log7(x)-log7(3)=log7(12)
Click here to see answer by stanbon(75887)

Question 401278: log8^(n-3)+log8(n+4)=1
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Question 401308: use log12(3)=0.4421 and log12(7)=0.7831 to evaluate log12(48)
Click here to see answer by jsmallt9(3758)

Question 401399: Radius of a sphere is given by the formula
r=(0.75v)
______1/3 power where v is the volume. Find the radius of a spherical tank
pi
that has a volume of 32pi/3 cubic meters.
Click here to see answer by Alan3354(69443)

Question 401274: log3y= 1/4log3(16)+ 1/3log3(64)
Click here to see answer by jsmallt9(3758)

Question 401276: log6(2x-5)+1=log6(7x+10)
Click here to see answer by jsmallt9(3758)

Question 401277: log16(9x+5)-log16(x^2-1)=1/2
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Question 401307: log2(2x+8)-log2(2x^2+21x+61)=-3
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Question 402569: How to solve:(6x^4+7x^2+4x-17)/(3x^2-3x+2)

Click here to see answer by rfer(16322)

Question 402596: find [g o h](x) and [h o g](x): g(x)=4x, h(x)=2x-1
Click here to see answer by edjones(8007)

Question 402707: what is the answer to 64= 8 squared in logarithic form
Click here to see answer by Alan3354(69443)

Question 402727: the question is: e^1.7
The answer is spprox=.
I cannot find a calculator w/ the e button, as the hint told me to do. Having a really hard time with what looks to me like a pretty simple, straightforward question. Thanks.
Click here to see answer by nerdybill(7384)

Question 402957: 5^2/5^2
Click here to see answer by Tatiana_Stebko(1539)

Question 403106: 15^-x=24
Click here to see answer by stanbon(75887)

Question 403107: 2lnx=5
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Question 403105: e^x+2=3
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Question 403126: what is the exponential function y = ab^x for a graph that includes (1,6) and (0,2)?
Click here to see answer by stanbon(75887)

Question 403126: what is the exponential function y = ab^x for a graph that includes (1,6) and (0,2)?
Click here to see answer by scott8148(6628)

Question 403246: Hi there,
Can you please help me with this problem?
e^(2x + 6) - 8 = 0
Solve for x.
Thank you so much.
Megan
Click here to see answer by Tatiana_Stebko(1539)

Question 403264: how do i graph and state the function of y=x1/2+1/4
Click here to see answer by checkley79(3341)

Question 403368: w=cr^(-2) solve for r
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Question 403705: A rectangular pen is to be fenced in against a house with 100 ft. of fencing. Find the dimentions of the pen to give the maximum area. What is the the maximum area?
Click here to see answer by rfadrogane(214)

Question 403854: Solving logarithmic equations
the problem is ln x + ln (x+3) = 1
I first combined the ln
ln [x(x+3)] = 1
ln x (squared) + 3x = 1
then I don't know what to do.

Click here to see answer by Alan3354(69443)

Question 403906: I'm trying to solve exponential equations
-5e^-x+9=6
First i subtracted 9 from each side
-5e^-x = -3
next I divided each side by -5
e^-x = 3/5
that's where I get stuck
the answer is ln 5/3 - 0.511. How do I get that?
Click here to see answer by Mr.Math(29)

Question 403940: simplify 3x+2x+(-4x)
Click here to see answer by Tatiana_Stebko(1539)

Question 403849: I need to solve exponential equations.
1.2e^-5x + 2.6 = 3 (the -5x is the exponent)
I first subtracted 2.6 from each side 1.2e^-5x = 0.4
I then took a common log of each side log 1.2e^-5x = log 0.4
-5x = log 0.4
then i was stuck.
The answer is
ln3/5 is about 0.220
I don't know how to get that.

Click here to see answer by Mr.Math(29)

Question 403899: solving exponential equations
I'm close, but can't quite get it.
the problem is 4 - 2e^x (x is the exponent) = -23
I first substracted 4 from each side
-2e^x = -27
I then divided both sides by -2
e^x = 13.5
then I took a common log of each side
log e^x = log 13.5
x = 13.5
but the answer is ln 13.5. Why?
Click here to see answer by Mr.Math(29)

Question 403957: simplify 4ab^2-3ab^2
Click here to see answer by checkley79(3341)

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