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Question 39095: Hi, please help me on this question, I've been thinking about it for a long time.
If and , determine
a) the values of x and y in terms of a, using positive indices.
b) an equation of x in terms of y
I've tried using the first log rule to do both equations and came up with and resectively but I don't know where to go from there. I also transformed it into an exponential equation and respectively and still have no clue of what to do.
Thank you.
Click here to see answer by AnlytcPhil(958)

Question 39229This question is from textbook Algebra 2
: Ln(x)+Ln(x-2)=1This question is from textbook Algebra 2

Click here to see answer by Nate(3495)

Question 39342This question is from textbook
: How do I do the following problem?

3x^2 = 8
Thank you for your helpThis question is from textbook

Click here to see answer by checkley71(8405)

Question 39345This question is from textbook
: How do I do the following problem?

5^x = 6^(x +8)
Thank you for your helpThis question is from textbook

Click here to see answer by hellyeah(21)

Question 39340This question is from textbook
: How do I do the following problem?
log 81=4
b^
Thank you for your helpThis question is from textbook

Click here to see answer by Nate(3495)

Question 39360This question is from textbook
: Could you help me with this problem, please.
3^x2 =8This question is from textbook

Click here to see answer by hellyeah(21)

Question 39360This question is from textbook
: Could you help me with this problem, please.
3^x2 =8This question is from textbook

Click here to see answer by Nate(3495)

Question 39389: True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain
Click here to see answer by lyra(94)

Question 39445: Solve log2(x+2) = log2^3x.
Click here to see answer by stanbon(26252)

Question 39442: Solve e^-2x + 5 = 12.
Click here to see answer by longjonsilver(2297)

Question 39443: Solve -4e^2x + 3 = -5
Click here to see answer by fractalier(1804)

Question 39443: Solve -4e^2x + 3 = -5
Click here to see answer by longjonsilver(2297)

Question 39440: What is the answer to 5^2x = 8?
Click here to see answer by longjonsilver(2297)

Question 39441: Solve e^2x = 5.
Click here to see answer by fractalier(1804)

Question 39456: Tell whether the x-value is a soultion of the equation.
ln x = 3, x = 3e

Click here to see answer by Nate(3495)

Question 39457: Tell whether the x-value is a soultion of the equation.
ln 2x = 14, x = 2e^14
Click here to see answer by Nate(3495)

Question 39467: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
-3 + ln x = 5
Click here to see answer by Nate(3495)

Question 39459: Tell whether the x-value is a soultion of the equation.
5e^x + 2 = 17, x = ln 3
Click here to see answer by Nate(3495)

Question 39469: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
9log10 x - 4 = 11
Click here to see answer by Nate(3495)

Question 39468: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
-5 + 2 ln x = 5

Click here to see answer by Nate(3495)

Question 39466: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
2log10 x = 10
Click here to see answer by Nate(3495)

Question 39461: Solve the equation by exponentiating each side.
log3(x-1) = 8
Click here to see answer by Nate(3495)

Question 39462: Solve the equation by exponentiating each side.
ln(5x - 3) = 2
Click here to see answer by Nate(3495)

Question 39465: Solve the logarithmic equation. Round the result to the three decimal places if necessary.
log2 x = 1.5
Click here to see answer by Nate(3495)

Question 39464: Use the following property to solve the equation. For positive numbers b, x and y where b doesn't = 1, logb y if and only if x = y.
log(3x + 2) = log(x - 1)
Click here to see answer by Nate(3495)

Question 39463: Use the following property to solve the equation. For positive numbers b, x and y where b doesn't = 1, logb y if and only if x = y.
log3(x-1) = log3(2x + 5)
Click here to see answer by Nate(3495)

Question 39444: Solve 2/3^2x = 12.
Click here to see answer by fractalier(1804)

Question 39643: logarithmic form 6^2=36
Click here to see answer by fractalier(1804)

Question 39756: change log base 10 equals 4 to exponential form?
Click here to see answer by Earlsdon(4898)

Question 39823: use the properties of log to rewrite Iny^3. Assume y is a positive number
Click here to see answer by atif.muhammad(135)

Question 39822: solve Inx-1.456. Round answer to 4 decimal places
Click here to see answer by atif.muhammad(135)

Question 39821: log2 x -log2 3=log 2(2x-5)
Click here to see answer by atif.muhammad(135)

Question 39821: log2 x -log2 3=log 2(2x-5)
Click here to see answer by tran3209(100)

Question 39821: log2 x -log2 3=log 2(2x-5)
Click here to see answer by venugopalramana(3286)

Question 37017: logx(9)=-1/3
Click here to see answer by fractalier(1804)

Question 36423: solve: 7^3x-5=5^1+4x
Click here to see answer by fractalier(1804)

Question 40253: log(2+x)-log(x-2)=log(5)
Click here to see answer by Nate(3495)

Question 40252: ln(y-6)=ln(y+6) +ln4
Click here to see answer by Nate(3495)

Question 40276: Which number lies farthest from the origin?

-9,0,-2,3,6
Click here to see answer by fractalier(1804)

Question 40556: I need to solve this equation:
a*x+b*log(x)+c=0
Thanks a lot!
Click here to see answer by stanbon(26252)

Question 40801: What is the value of the product (log2^3)(log3^5)(log5^8)?
(Solve algebraically)
Click here to see answer by stanbon(26252)

Question 40982: ln(y-6)=ln(y+6)+ln4
Click here to see answer by psbhowmick(456)

Question 40982: ln(y-6)=ln(y+6)+ln4
Click here to see answer by stanbon(26252)

Question 41116: Find all real solutions for log4+log+4(x-12)=3
Click here to see answer by stanbon(26252)

Question 41181: I need to solve this log problem:
log( 2, 32)=3x
It is a change in base because it is not log(10). So you have to figure what it equals which I dont know how to do, then you can divide by 3x to solve for x.
Click here to see answer by Nate(3495)

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