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 143390: what does it means to raise a power to a power and how it is related to multiplication. Provide an example to illustrate.

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Question 143382: Using the formula pH = -log[H+], show me how to find the hydrogen ion content of coffee when the pH level is 5.0
Write answer in scientific notation including units.
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Question 143557: how do you evaluate the following expression:
log base square root 2 (2 sqaure root 2)
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Question 143599: Write (9/4)^-1 as an exponent

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Question 143747:
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Question 143867: The area of a square is 25 square meters. What is its perimeter?

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Question 143910: Tutors please help me: THANK YOU
solve the exponential equation 3^x2+^4x=1/27
and

28^x=10^-3x
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Question 143922: I need o find the domain for
f(t)=4.5e^t
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Question 143923: A salamander scurries 10 inches along a straight path, then stops and rests. After catching its breath, it scurries (1/3) of its previous distance, continuing along its straight path before stopping to rest again. Tne salamander continues this pattern of travel along a straight path, moving (1/3) of the previous distance each time. Which expression will give the total distance the salamander has traveled after n moves?
A. 10 + (1/3)(10) + (1/3)^2(10) + ... + (1/3)^n-1(10)
B. 10 + (1/3)(10) + (1/3)^2(10) + ... + (1/3)^n(10)
C. 10(1/3)^n
D. 10(1/3)^n-1
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Question 143989: solve for x
log5(4x)=log5 28
2log x+ log3= log48
2^2x+3 = 2^x-5
4^x= 28
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Question 143991: A model for the number of people N in a college community who have heard a rumor is given by the equation: where P is the total population of the community and d is the number of days elapsed since the rumor began. If the number of students is 1,000 find the number of days when 500 students would have heard the rumor.
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Question 143992: Solve the equation
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Question 143993: Solve the equation
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Question 143994: Solve the equation
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Question 144334: Solve the equation ln(4x-2)=ln(8x)
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Question 144332: Please help if you can.
Find the Half-Life or Doubling Time for the following:
Q=1000e^0.5t
I have no idea where to go with this one. Thank you for any help you can offer.
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Question 144349: The Mach number, M, is the ration of the speed of an object, v, traveling through a fluid medium to the velocity of sound Vs, through that medium. Hence, log(M) =
a. log(v) - log(Vs)
b. log(v-Vs)
c. log(v) + log(Vs)
d. log(v) log(Vs)
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Question 144348: Determine x for 10^(2x+1) = 100^x
a. x = -1
b. x = 2
c. x = 0
d. No solution
After working a, b, c....I picked answer d.
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Question 144339: Solve the equation 3^x+1=27^x+3
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Question 144343: Write an exponential function y=ab^x whose graph passes through the given points: (2,16), (3,64)
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Question 144341: Write the exponential function y=ab^x whose graph passes through the given points: (1,6), (2,36)
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Question 144342: Write an exponential function y=ab^x whose graph passes through the given points: (2,16), (3,64)
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Question 144344: Write a power function y=ax^b whose graph passes through the given points: A) (2,2)(4,16) B.) (3,3),(6,12)
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Question 144401: In(x+2)=2
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Question 144403: In(5-x)=6
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Question 144402: In(2x-3)=1.7
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Question 144576: Could someone please help me simplify 1n e^4x-5 thank you
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Question 144672: Pls help me for this question : 2^x 3^x+1 = 100 Thanks
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Question 145111: how to evaluate 8^(1/3) without calculator or 8^(2/4)?
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Question 145339: which logarithmic equation is equivalent to the exponential equation below?
8^x=100
a. x=log8 100
b. x=log100 8
c. 100=logx 8
b. 8=logx 100
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Question 145504: How do you Plot the graphs of the following functions

1. (x)=6x
2. f(x)=3x - 2
3. f(x)=(1/2)x
4. f(x)= log2x

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Question 145459: log3 fifth root of 9
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Question 145806: ln(x-3)=ln(x)+3
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Question 145981: (2/3x^4)(3x^2-9)
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Question 146259: Solve the equation by expressing each side as a power of the same base and then equating exponents
e^(x+5)=1/e^6
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Question 146462: Can someone please help me with this problem: "Write an equivalent exponential expression for 16^2x with a base of 2." Thank you!
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Question 146515: Sorry about the other ?, that was an incomplete eqaution.
(4xy)(5x)
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Question 146979: The x-intercept of F(x) = log0.5 x is
this isn't out of a textbook.

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Question 146747: Find algebraic solutions for each system of equation
b) y= 2(1/3)^(-x) and y=6(9)^(x+1)
c) y= 1000(0.1)^(2x) and y=10^x

thank you!
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Question 146991: solve the following equation for x: 64=2^3x.
a.x=1
b.x=2
c.x=2.5
d.x=3
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Question 146990: solve the following equation for x: 64=2^3x.
a.x=1
b.x=2
c.x=2.5
d.x=3
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Question 147371: solve (x+10)(x-4)(x+6)>0
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Question 147557: How do you write log40=1.6 in exponential form and how can you change it to a logarithmic form?
Click here to see answer by jim_thompson5910(28504)

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