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 689404: Solve 10^6x = 93. Round to the nearest ten-thousandth.
Click here to see answer by Alan3354(69443)

Question 689406: Use a graphing calculator. Solve 5.5^3x = 805 by graphing. Round to the nearest hundredth.
Click here to see answer by Alan3354(69443)

Question 689406: Use a graphing calculator. Solve 5.5^3x = 805 by graphing. Round to the nearest hundredth.
Click here to see answer by Edwin McCravy(20059)

Question 690106: Find the equation of a tangent line to the function y= at the point (2,1/8)
Thanks for any help
Click here to see answer by solver91311(24713)

Question 690545: Use a table to solve. Round to the nearest hundredth.
2^8x = 93

Click here to see answer by Alan3354(69443)

Question 690845: Whats (5x)^(-1/2)=10? Steps please
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Question 690685: solve each equation for x by first rewriting both sides as powers of the same base. 32^x=64
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Question 690560: Use natural logarithms to solve the equation. Round to the nearest thousandth.
5e^(2x + 11)=30

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Question 690558: Solve ln(5x + 7) = 8. Round to the nearest thousandth.
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Question 690557: Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary.
3 log 2x = 4

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Question 690554: Solve the exponential equation.
1/16= 64^(4x�3)
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Question 690550: Write the expression as a single natural logarithm.
2 ln x � 5 ln c
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Question 690548: Solve log 2x + log 12 = 3. Round to the nearest hundredth if necessary.
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Question 690402: solve: log base a of x + log base a of (x-2)= log base a of (x+4)
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Question 691108: Find the exact value for the solution of the equation.
log((x^2)+4)-log(x+2)=2+log(x-2)
I have the answer in the back of my book and it says the answer is: (2/3)*(sqrt(101/11))=~2.02
But every way I've tried didnt work. Please help! and thank you!
Click here to see answer by ankor@dixie-net.com(22740)

Question 691374: 1) suppose that g(x) = 5^x - 3.
a) what is g(0)?
b) What point is on the graph of g?
c) If g(x) = 622, what is the value of x?
2) Solve the logarithmic equation: 4e^(y+1) = 5
3) Write the given expression as a single logarithm:
21(log3)(third root of w)+(log3)(9w^2)-(log3)9
Completely lost and have no idea on how to do these. Help please.
Click here to see answer by ankor@dixie-net.com(22740)

Question 691559: e^2x - 5e^x +4 = 0
Click here to see answer by stanbon(75887)

Question 691558: Solve the Equation.
(x^3)(9^x) - 9^x =0
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Question 691558: Solve the Equation.
(x^3)(9^x) - 9^x =0
Click here to see answer by MathTherapy(10552)

Question 691473: Juan is going to deposit $1,000 in an account that will earn him compund interest. The account pays 8% interest, compounded monthly. How much money will he have after 10 years?
Click here to see answer by lwsshak3(11628)

Question 691818: Log 1/10 = -1
write as an exponential. How is this solved.
Click here to see answer by Alan3354(69443)

Question 692312: can you help me solve 10^6x = 93 and round to the nearest ten-thousandths please? I don't have a graphic calculator and don't understand it.
Click here to see answer by htmentor(1343)

Question 692589: Here is the problem:
3^(x-6) = 1/243
Here is what I've tried. I don't know if I got it wrong or right. I just want to see if I'm on the right path or not. Thanks for the help!
ln 3^(x-6) = 1/243
x-6 = 1/243
x = 6.004
Click here to see answer by josmiceli(19441)

Question 692685: x� + y� = 23xy and x,y > 0 prove that log(] = [log(x) + log(y)]
Click here to see answer by Edwin McCravy(20059)

Question 692965: y varies jointly as m and the square of n and inversly as p
y=15 when m=2, n=1, and p=6. Find y when m=3, n=4 and p=10
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Question 693121: log2^5+log5^5=
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Question 693130: 10^2log10(5)
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Question 692701: 1)the directions ask: convert to an exponential equation
ln3^a=1.7
2) the directions ask: find a polynomial function of degree 3 with 1+2i,1-2i,-1 as zeros.

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Question 692600: Write each expression as a sum and/or difference of logarithms.
a) ln(xe^x)

b)
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Question 691819: How long will it take for the population of a certain country to double if its annual growth rate is 5%? Round to the nearest year.
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Question 691735: solve ln((e^4x+3)/e)=1
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Question 693305: what is the vertex and axis of symmetry of y= 3x^2+6x-1
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Question 693224: Find the x & y intercept
y-2=log2(x+3)

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Question 691729: a sample of a radioactive substance was put in storage 6 years ago. It's half-life is 5.5 years. If 8.3 gm of the original substance remains in the sample now, what is the initial quantity of the substance (accurate to two significant figures)?
Click here to see answer by stanbon(75887)

Question 693478: Solve 3^2x=7(3^x)-12 and check for extraneous roots.

I know this is a quadratic function. So everything to one side :
3^2x-7(3^x)+12 and applied the quadratic formula.
my zeros were x=4 or x=3, however the answers are 1, and 1.26. So I Don't know how to solve this.
Click here to see answer by mouk(232)

Question 693649: Use a table to solve. Round to the nearest hundredth.
2^8x = 93
Click here to see answer by Alan3354(69443)

Question 693797: step by step answers ..
solve log 21 + log 77+ log 88 - log 121 -log 24
all are base to 7
Click here to see answer by mouk(232)

Question 693680: Solve 1n 2 + 1n x = 5. Round to the nearest thousandth, if necessary.
Click here to see answer by lwsshak3(11628)

Question 693876: how do you factor:
x to the 4th power -5x to the 2nd power-14?
Click here to see answer by lwsshak3(11628)

Question 694119: 9.4 * 10^-5
Click here to see answer by Alan3354(69443)

Question 694119: 9.4 * 10^-5
Click here to see answer by jim_thompson5910(35256)

Question 694003: how do you solve these equations
1) e^-x=5
2) 11^5x=33
3) 4e^2x=17
Click here to see answer by lwsshak3(11628)

Question 694533: Log[4](2x)+log[4](x-2)=2
Click here to see answer by ankor@dixie-net.com(22740)

Question 695536: Solve log(3x + 2) = 3.
1000/3
998/3
998
1/3
Click here to see answer by mouk(232)

Question 695919: evaluate each logarithmic form 1/3log3 729
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