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

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Question 251163: How would I solve the a natural log problem like the one below?
Thank you!!!
((lnX)^2)-6 = -5lnX

Click here to see answer by Theo(13342) About Me 

Question 251122: Evaluate the exponential equation for three values of x greater than -4, three values of x smaller than -4, and at x = -4.
y = 3(x + 4)

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Question 251604: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1.
y= (5/2)^x
x= (5/2)^y

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Question 250697: if f(x) = 3^(2 - 3x)
then the value of [f(1 + x)][f(1 - x)] is....?
Thanks, please show steps and explain!

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Question 249457: Solve the equation 3^3x=9^x+1
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Question 247761: A/2 = Ae^0.5750k
solve for k

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Question 252916: Evaluate the logarithm
1. Log,1/25

2. Log,9

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Question 252917: write the equation in Logarithmic form.
1. 3^6=729
2. 125^4/3=625

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Question 252925: Evaluate teh logarthm.
1. log^5 1/25
2. log^3 9
3. Write the equation log^12 8=3/5

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Question 253067: 5^2x=8
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Question 253068: ln(x+3)=ln(6-3x)
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Question 250547: if f is charater of a group G of order n then how for a belongs to G f(a)=exp(2pie i)j/n,
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Question 253095: solve -
5(2)^x-3=7.6
I can not figure this out!!!
Help please...

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Question 253115: Help please!
(2^4)^2/2*2^0
(2*2^3/2)^2

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Question 253188: Finding zeros - i dont get how
Function - f(x) = log 5x
Function - f(x) = 6^x
Can someone explain how to find the zeros please

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Question 253217: If f(x) = log2x, find f(16)
16=log 2x
2^16 =65,536
is this right

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Question 253217: If f(x) = log2x, find f(16)
16=log 2x
2^16 =65,536
is this right

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Question 253214: If f(x) = log 5x, what is f(1/5)
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Question 253213: solve for x log 5x - log 5 3=2
I got log 5 x/3=2
x=2/3
is this right?

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Question 253275: Help!
When you have 3x^2*8x^6 do you multiply the 8 and 3? Like 24x^8?
Also,
2^4*(2^3)^4/(2^3)^4?

Click here to see answer by richwmiller(17219) About Me 

Question 253334: Please help this is an emergancy!
Solve 125^(9x-2)=150
Solve 1/16=64^(4x-3)
Solve log(x+9)-logx=3
Use a graphing calculator solve 5^4x=1720 by grpaing. Round to the nearest Hundreth if neccesary.

Click here to see answer by palanisamy(496) About Me 

Question 253327: Solve 125^(9x-2)=150
Solve 1/16=64^(4x-3)
Solve log(x+9)-logx=3
Use a graphing calculator solve 5^4x=1720 by grpaing. Round to the nearest Hundreth if neccesary.

Click here to see answer by hokies(65) About Me 

Question 253359: what is the solution of the equation e^xe^2x=4?
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Question 253385: The Wongs bought a new house three years ago for $92000. The house is now worth about $113,000. Assuming a steady annual percentage growth rate, approximately what was the yearly rate of appreciation?
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Question 253311: what is the inverse of y= 2ex-2
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Question 253310: what is the inverse of y= log4(x+3)
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Question 253615: 4^square root of 2 * 4^2square root of 2
ive gotten this far: (2^2)^square root of 2 * (2^2)2square root of 2
i am supposed to simplify this expression but unfortunately my teacher ran out of time and we had little time to review this...any help would be greatly appreciated!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 253615: 4^square root of 2 * 4^2square root of 2
ive gotten this far: (2^2)^square root of 2 * (2^2)2square root of 2
i am supposed to simplify this expression but unfortunately my teacher ran out of time and we had little time to review this...any help would be greatly appreciated!

Click here to see answer by stanbon(75887) About Me 

Question 253646: HOW DO YOU FIND A QUADRATIC FUNCTION'S MAXIMUM VALUE OR MINIMUM VALUE WHEN THE FUNCTION IS GIVEN IN INTERCEPT FORM?
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Question 253671: 7%5E3square+root2+%2F+7%5Esquare+root2
im sorry about the format...there is no square root symbol.
any help would be greatly appreciated. i get how to do multiplication, but i am stuck on division, thank you!!!

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Question 253672: %28y+square+root3%29%5Esquare+root+12
i am very confused as to how to do this problem, any explanation would be very helpful, thank you

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Question 253735: a research biologist began to grow a culture in which the number of bacteria doubled every day. three days later, she began a second culture in a richer medium so that the number of bacteria increased fourfold everyday. If each culture was begun with the same number of bacteria present, how many days after starting the second culture with the number of bacteria in the two cultures be equal?
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Question 253804: i need to simplify the expression -18a^6b^-1/3a^6b
Click here to see answer by stanbon(75887) About Me 
Question 253804: i need to simplify the expression -18a^6b^-1/3a^6b
Click here to see answer by richwmiller(17219) About Me 

Question 253805: i need to simplify the expression 4x^5y^8/-2x^6y thanks!
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Question 253805: i need to simplify the expression 4x^5y^8/-2x^6y thanks!
Click here to see answer by richwmiller(17219) About Me 

Question 253806: simplify the expression (x^8y^2/x^-2y^-8)^1/2 i feel like this may not make sense (it could just be me)i haven't learned fractional exponents yet
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Question 253874: beryllium-11 decomposes into boron-11 with a half life of 13.8 seconds. How long will it take 240 g of beryllium-11 to decompose into 7.5g of beryllium-11?
based on the forumula provided in the text book C(t)=C(0)2e^-t/h
where C(0) = 240, C(t)=7.5 ,h=13.8
7.5/240=2e^-t/13.8
this was a s far as i got

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 253874: beryllium-11 decomposes into boron-11 with a half life of 13.8 seconds. How long will it take 240 g of beryllium-11 to decompose into 7.5g of beryllium-11?
based on the forumula provided in the text book C(t)=C(0)2e^-t/h
where C(0) = 240, C(t)=7.5 ,h=13.8
7.5/240=2e^-t/13.8
this was a s far as i got

Click here to see answer by Theo(13342) About Me 

Question 253889: beryllium-11 decomposes into boron-11 with a half life of 13.8 seconds. How long will it take 240 g of beryllium-11 to decompose into 7.5g of beryllium-11?
based on the forumula provided in the text book C(t)=C(0)2e^-t/h
where C(0) = 240, C(t)=7.5 ,h=13.8
7.5/240=2e^-t/13.8
this was a s far as i got

Click here to see answer by stanbon(75887) About Me 

Question 253932: I have a problem that says describe the end behavior of the graph of the polynomial function by completing these statements f(x)-> ? as x -> - infinity and f(x)-> ? as x-> + infinity
the problem is f(x)= -x^6+2x^3-x

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Question 253933: How do you factor 8x^2-28x-60
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Question 253933: How do you factor 8x^2-28x-60
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Question 253933: How do you factor 8x^2-28x-60
Click here to see answer by richwmiller(17219) About Me 

Question 253961: How do you factor 12v^2-25v-7?
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