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

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Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)


Question 198359: solve for x
-.5log(7)^x=log(7)^.5

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Question 198546: solve:
7^n+3=80

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Question 198550: solve:
log6(5-2a)-log6(3a)=1

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Question 198550: solve:
log6(5-2a)-log6(3a)=1

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Question 198549: solve:
log3^(x-3)+log3^(x+2)=log3^6

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Question 198548: solve:
10^x+3>100^x-1

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Question 198621: What is the inverse of the function y=2ln(x-5)
My answer choices are:
A) y= (x/ln2)+5
B) x= (y/ln2)+5
C) y= 2e^(x-5)
D) y= e^(2x)+5
E) y= e^(0.5x)+5
I think it's A but I'm not sure. Please help!

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Question 198636: Simplify log2 2^5
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Question 198661: I need help solving:
log(3x-2)^4=12

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Question 198742: Solve log x =5
I've tried putting this equation into my calculator but it doesn't come up with the answer my teacher gave me.
This is from an exam review, not a book.

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Question 198742: Solve log x =5
I've tried putting this equation into my calculator but it doesn't come up with the answer my teacher gave me.
This is from an exam review, not a book.

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Question 198822: I cannot figure out how to solve this to the nearest hundredth.
ln x= -3.7

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Question 199063: Use the base-change formula to find the logarithm to 4 decimal places.
log base 8 X 8.69

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Question 199489: 3^x=3^(3x+1)
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Question 199773This question is from textbook College algebra in context
: I'm not sure how to work out this problem with step by step This question is from textbook College algebra in context

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Question 199907: If the population in New York was 107.4 million in the year 2006 and it continues to grow at an annual rate of 1.43% then the population in 2028 will be
107.4(1.0143)14 power.
Find the predicted population in 2020 to the nearest 10th of a million
My team mates and I can not figure out how to lay out the equation for this one.
So we thought 2020=2006= 14yrs. and 2028-2020 = 8 yrs difference.
then multiply the 1.43 x 12 x 8 ????? I'm/were confused.

Click here to see answer by jim_thompson5910(13787) About Me 

Question 199836: 7 ^n=12
8^n+1=3
log 3x=2
4log x=4
I can't figure how to solve these.

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Question 199845: 3. What are the asymptotes of the functions "f(x) = 4x" and "g(x) = log5x"?
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Question 199843: If log[b]x = y is true if b^y = x how are the graphs related?
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Question 200295: find y' when
y=3-x^3e^x
can someone help please

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Question 200334: consider the following
f(x)=5x^2-5x
find f'(7)

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Question 200331: not sure if I have the right area
consider the following
6x^3/5+5square root symbol x inside-6/3square root symbol x inside
use the power rule for differentiation to find f'(x). Give your answer using the form below where B>D>F
f'(x)=Ax^B+Cx^D+Ex^F
can someone help please

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Question 200488: For the exponential functions e^x and logarithmic function logx graphically show the effect if x is halved. Include a table of values for all for functions. Please can someone graph this for me my calculators on my system cannot do these and I am clueless. Thank You.
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Question 200746: find the relative maximum and relative minimum values of the function below.
f(x)=x^3+9x^2+15x-7
relative maximum: -5, _____
relative minimum: -1, ______
can not figure out the _____ part
can someone help please
thanks

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Question 200749: Find all the points of inflection of the function
f(x)=8x^2-2x^4
find point with smaller x-value
find point with larger x value
can someone help please



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Question 200749: Find all the points of inflection of the function
f(x)=8x^2-2x^4
find point with smaller x-value
find point with larger x value
can someone help please



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Question 200743: can someone help please
My teacher is asking which of these statements is/are true select all that apply
1. if F(x)=f(x)*g(x), then F'(x)=f'(x)*g'(x)
2. if c is a constant, then d/dx(c*f(x))=c*d/dx(f(x))
3. if c is a constant, then d(c)/dx=0
4. if F(x)-f(x)+g(x), then F'(x)=f'(x)+g'(x)
5. if F(x)=f(x)*g(x), then F'(x)=f(x)*g'(x)+g(x)*f'(x)
6. none of these
7. if k is a real number, then d(x^k)/dx=kx^k-1
thanks a bunch

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Question 200907: find y' when
y=ln(x+2)/(x^2+1) this problem has the big ( around all)
thanks for help

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Question 200966This question is from textbook
: log2x-log9x-2=1 A:2.431
log5(z-3)=2 A: z=28
can you please give me step by step in solving these problem
This question is from textbook

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Question 200908: The half life of cobalt-60 is 5.3 years.
a.) find its decay rate
b.) If you initially have 15 grams of this material, how long until only 10 grams remain?
I am having trouble can someone help

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Question 201009: Ln(x-1)+Ln(x+3)=Ln5
Cannot figure out how to solve, please help

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Question 201009: Ln(x-1)+Ln(x+3)=Ln5
Cannot figure out how to solve, please help

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Question 201008: Log4(3x+7)=3
Cannot figure out how to solve. Please help

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Question 201150This question is from textbook Mathematics For Technical trades
: Evaluate:2(2-8)divided by 12 divided by 7(3-6)= here a problem I am struggling with in pre algebra. Thanks JanetThis question is from textbook Mathematics For Technical trades

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Question 201027: can someone help with these two questions thanks
1.)find y' when
y=7^2^x this problem is 7 with the 2x are small


2.) find y' when
y=x^5 5^x this problem is x to the power of 5 then 5 to the power of x
thanks so much

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Question 201242: Write the transformed function f(x) = 8^x is horizontally compressed by a factor of 2.
How would i slove this?
In general functions are compressed horizontally by a factor of two when you replace the 'x' in the function with '2x'.
The solution for this particular problem would be:
f(x) = 8 ^(2x)
This can be simplified...
f(x) = 8 ^ (2 * x)
f(x) = (8 ^ 2) ^ x
f(x) = 64 ^ x


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Question 201276This question is from textbook college algebra
: solve for x
log 10^x + log 10^(x-15)=2
This question is from textbook college algebra

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Question 201313: not sure how to set up and do
an airport shuttle has an average of 1200 passengers per day and charges 15 per ride. Each 1 dollar increase in fare results in a loss of 50 riders. What should the fare be to maximize the revenue?
can someone help please
thanks

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Question 201333: question on worksheet. can someone help please thanks thanks
Suppose that a population that is exhibiting exponential growth triples after 8 years. What will the population be after 16 years if the original population was 10000?

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Question 201350: Find the present value of $15000 due 5 years later at 6.1% compounded continuously. not sure how to set this up due the compounded continuously. can someone help please
thanks

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Question 201564This question is from textbook algebra and trigonometry structure and methods
: please help me simplify this equation (10^3.14)^2This question is from textbook algebra and trigonometry structure and methods

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Question 201606: which of the following statements is/are true-select all that apply
if f'(x)>0, then f(x) is increasing
if f(x) is increasing, then f'(x)>0
if f(x) is increasing, then f(x)>0
if f(x)>0, then f(x) is increasing
I am so confused can someone help please
thanks

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Question 201612: Using the function
y=(4x^2-8x+3)^4 find y' using the chain rule(extended power rule)answer in the form y'=A(Bx^2-Cx+D)^e(fx-G)
note all answers are integers
which I got what is 4(4x^2-8x+3)^3 but can not figure out (fx-g) part and then it ask now use y' to find the equation of the tangent line at the point (2,81)
y=_________________ x-_____________
thanks

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Question 201611: Using the function
y=(4x^2-8x+3)^4 find y' using the chain rule(extended power rule)answer in the form y'=A(Bx^2-Cx+D)^e(fx-G)
note all answers are integers
thanks

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Question 201601: Determine where the graph of the function is concave up and concave down (if you need to enter use infinity or - infinity)
f(x)=x^3-15x^2+12x+6
concave up
concave down
can someone help please
thanks




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