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 899259: 8/8x^3
I have to write it in power form ax^b
Click here to see answer by jim_thompson5910(35256)

Question 899348: t(x)=n*e^(mx)

Click here to see answer by Fombitz(32388)

Question 899462: f(t)= √t^2+2ln(t)
Find the derivative of each function.
Can someone help me figuring this equation out. I would really appreciate the help. Thank you.
Click here to see answer by swincher4391(1107)

Question 900352: In a triangle ABC angleA is x angleB is 3x amd angleC is y.If 3y-5x=30,Show that the triangle is right angled
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Question 901039:
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Question 901039:
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Question 902574: ln (1 + x) = C x
where C - Constant
how to solve for x
X = ??

Click here to see answer by Fombitz(32388)

Question 903021: x-6√x=16
Click here to see answer by ewatrrr(24785)

Question 903135: Hello i have this problem Solve: 2^(x+3)=2^5
I've worked it to
LN(2^(x+3)) = LN(2^5)
x+3*LN(2)=5*LN(2)
x= 5LN(2)/3LN(2)
Hower this answer does not match up any of the possible answers i have to choose from:
a) 2log(x+2)+log(x-1)
b)log 3
c)log(x^2+2)-log(x-1)
d)log(x+1)
Someone help. Thanks.
Click here to see answer by Alan3354(69443)

Question 903263: Find the value of x: 8^8+8^8+8^8+8^8+8^8+8^8+8^8+8^8=2^x
Click here to see answer by josmiceli(19441)

Question 903737: Pls help me solve this,
Integrate sec^2 x/(2+tanx)(3-tanx) dx
(Hint: t=tanx)
Thank you so much...:)
Click here to see answer by Edwin McCravy(20059)

Question 904164: Solve.
9^(2y+3) = 27y
Apparently the answer is -6 but I keep getting zero. Please help!
Click here to see answer by Alan3354(69443)

Question 904643: Write an equation for the exponential function that contains points (1,6) and (2,4). Write the equation in the form y=a(b)^x
Click here to see answer by reviewermath(1029)

Question 904103: Solve.
2^(x+2) = (1/8)
Click here to see answer by AlgebraLady88(44)

Question 905392: Find a formula for the exponential function that satisfies g(0)=7 and g(−2)=7/4.
Click here to see answer by Fombitz(32388)

Question 905853: Sorry I meant. Simplify (p-q)(p+q).
What would the answer be if they were multiplied?
Click here to see answer by MathLover1(20850)

Question 905843: Factor out (p+q)cubed - (p-q)cubed
Click here to see answer by Fombitz(32388)

Question 906278: X+y+z=66
X+3=y
Z+6=x
Click here to see answer by ewatrrr(24785)

Question 906301: how does the graph of the function compare to the parent funtion?
y= -2(1/3)^x-2
Click here to see answer by ewatrrr(24785)

Question 906318: evaluate =e^5
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Question 906317: evaluate= e^-3
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Question 906315: find the amount un a continuously compounded account for a principal of $1,000. at an annual percentagr rate of 4.9% after 2years.
Click here to see answer by ewatrrr(24785)

Question 906984: Urgent I have tried everything I am not good with logarithms Please help.
This is question about Photic Zone.
The exponential function is I=Isub0e^-kx Isub0= 1000 foot candles so I=
depth of the water is x= depth in feet
What is the intensity of light at the depth of 10 feet? Round answer to one decimal place.
Click here to see answer by Alan3354(69443)

Question 907071: Urgent please help!
What is the depth of the photic zone of this lake? SOLVE for x
l/l_0 = 0.01 so, please round the answer to one decimal place.
Click here to see answer by Alan3354(69443)

Question 907283: Log7^2=x log7
Click here to see answer by josgarithmetic(39620)

Question 907342: How do I algebraically prove a2 +b2=c2 ?
( 2 in the question above here is not two but exponent )
Click here to see answer by Fombitz(32388)

Question 906931: How does the graph of the function compare to the parent function? Y=5(2)^x+1+3
Click here to see answer by AlgebraLady88(44)

Question 908275: what is the product of ( 2/5x - 3/4y^2) and (2/5x +3/4y^2)
Click here to see answer by Fombitz(32388)

Question 910732: Simplify: √3-4√2+6√3+8√2
a) 8√3+4√2
b) 12√5
c) -4√3-6√2
d) 8√6+8

Click here to see answer by ewatrrr(24785)

Question 911646: I am trying to find the nth formula for the following sequence
n=0,1,2,3,4
f(n) = 4,24,124,624,3124
Thanks,
Click here to see answer by AnlytcPhil(1806)

Question 911885: I need help with:
log7(x+4) +log7(x-2) = 1 <---thats to the base 7 not x7
I thought i had it but when checking the answer it wasn't right.
Click here to see answer by MathLover1(20850)

Question 912030: (13.33) raise to the power 1.4 step by step explanation
Click here to see answer by josgarithmetic(39620)

Question 912638: -3 + (8+2x)^(5/4)=29
Not exactly sure which section this belongs to, but what's throwing me off is the fractional power. I got to (8+2x)^(5/4) = 32, and I tried to simplify it by putting 2x + 8 to the 5th power, and then to the fourth root, but I was still confused on how to solve from there. I'd really appreciate any hints or help with this, it's really mind boggling to me.
Click here to see answer by excellentsolutionas(12)

Question 912667: -3 + (8+2x)^(5/4)=29
Not exactly sure which section this belongs to, but what's throwing me off is the fractional power. I got to (8+2x)^(5/4) = 32, and I tried to simplify it by putting 2x + 8 to the 5th power, and then to the fourth root, but I was still confused on how to solve from there. I'd really appreciate any hints or help with this, it's really mind boggling to me.
Click here to see answer by josgarithmetic(39620)

Question 912834: Please, help me to simplify the expression: (6x�)⁰/3xy2
*Using only positive exponents

Click here to see answer by Fombitz(32388)

Question 912842: Please, help me to simplify the expression: 4a⁸/2a⁴
*Using only positive exponents

Click here to see answer by stanbon(75887)

Question 912844: Please, help me to simplify the expression: (-4m� n�) (2mn)
*Using only positive exponents

Click here to see answer by ewatrrr(24785)

Question 912844: Please, help me to simplify the expression: (-4m� n�) (2mn)
*Using only positive exponents

Click here to see answer by stanbon(75887)

Question 912837: Please, help me to simplify the expression: (3r-�s�t⁰)-�/3rs
*Using only positive exponents

Click here to see answer by ewatrrr(24785)

Question 912838: Please, help me to simplify the expression: r�s⁴t⁶/r�s⁴t-⁶
*Using only positive exponents

Click here to see answer by ewatrrr(24785)

Question 913131: Solve 16^(x) - 4^(x-1) - 3 = 0
By looking at the problem it seems to me this is an exponential equation of the quadratic flavor which can somehow can be rewritten in the ax^2 + bX + c = 0 fashion. But I don't get much farther than turning the 16^x into a (4^x)^2. This has stumped me. I've tried different things and at the end I have to resort to using the quadratic formula to factor this bugger, but it never results close to the actual answer of logbase4(-2 + √7)
Any help is much appreciated!
Click here to see answer by jim_thompson5910(35256)

Question 913163: Solve: 16^(x) + 4^(x+1) - 3 = 0
Thanks!
Click here to see answer by jim_thompson5910(35256)

Question 913455: Solve: 4^x - 10・4^(-x) = 3
I got as far as (2^x)^2 - 10(1/2^x) - 3 = 0
Thanks in advance!
Click here to see answer by rafy28(1)

Question 913455: Solve: 4^x - 10・4^(-x) = 3
I got as far as (2^x)^2 - 10(1/2^x) - 3 = 0
Thanks in advance!
Click here to see answer by montecristo73(8)

Question 913814: graph y= log with base of 2 of (3-x)
Click here to see answer by Fombitz(32388)

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