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

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 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. Click here to see answer by stanbon(57246)

 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. Click here to see answer by edjones(7569)

 Question 143557: how do you evaluate the following expression: log base square root 2 (2 sqaure root 2) Click here to see answer by solver91311(16868)

 Question 143599: Write (9/4)^-1 as an exponent Click here to see answer by nabla(475)

 Question 143867: The area of a square is 25 square meters. What is its perimeter? Click here to see answer by oscargut(891)

 Question 143910: Tutors please help me: THANK YOU solve the exponential equation 3^x2+^4x=1/27 and 28^x=10^-3x Click here to see answer by stanbon(57246)

 Question 143922: I need o find the domain for f(t)=4.5e^t Click here to see answer by nabla(475)

 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 Click here to see answer by stanbon(57246)

 Question 143989: solve for x log5(4x)=log5 28 2log x+ log3= log48 2^2x+3 = 2^x-5 4^x= 28 Click here to see answer by jim_thompson5910(28504)

 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. Click here to see answer by jim_thompson5910(28504)

 Question 143992: Solve the equation Click here to see answer by jim_thompson5910(28504)

 Question 143993: Solve the equation Click here to see answer by jim_thompson5910(28504)

 Question 143994: Solve the equation Click here to see answer by jim_thompson5910(28504)

 Question 144334: Solve the equation ln(4x-2)=ln(8x) Click here to see answer by jim_thompson5910(28504)

 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. Click here to see answer by scott8148(6628)

 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) Click here to see answer by stanbon(57246)

 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. Click here to see answer by stanbon(57246)

 Question 144339: Solve the equation 3^x+1=27^x+3 Click here to see answer by vleith(2825)

 Question 144343: Write an exponential function y=ab^x whose graph passes through the given points: (2,16), (3,64) Click here to see answer by vleith(2825)

 Question 144341: Write the exponential function y=ab^x whose graph passes through the given points: (1,6), (2,36) Click here to see answer by scott8148(6628)

 Question 144342: Write an exponential function y=ab^x whose graph passes through the given points: (2,16), (3,64) Click here to see answer by scott8148(6628)

 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) Click here to see answer by scott8148(6628)

 Question 144401: In(x+2)=2 Click here to see answer by vleith(2825)

 Question 144403: In(5-x)=6 Click here to see answer by stanbon(57246)

 Question 144402: In(2x-3)=1.7 Click here to see answer by nabla(475)

 Question 144672: Pls help me for this question : 2^x 3^x+1 = 100 Thanks Click here to see answer by vleith(2825)

 Question 145111: how to evaluate 8^(1/3) without calculator or 8^(2/4)? Click here to see answer by shahid(44)

 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 Click here to see answer by jim_thompson5910(28504)

 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 Click here to see answer by jim_thompson5910(28504)

 Question 145459: log3 fifth root of 9 Click here to see answer by scott8148(6628)

 Question 145806: ln(x-3)=ln(x)+3 Click here to see answer by nabla(475)

 Question 145981: (2/3x^4)(3x^2-9) Click here to see answer by ankor@dixie-net.com(15638)

 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 Click here to see answer by stanbon(57246)

 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! Click here to see answer by stanbon(57246)

 Question 146515: Sorry about the other ?, that was an incomplete eqaution. (4xy)(5x) Click here to see answer by checkley77(12569)

 Question 146979: The x-intercept of F(x) = log0.5 x is this isn't out of a textbook. Click here to see answer by nabla(475)

 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! Click here to see answer by nabla(475)

 Question 146991: solve the following equation for x: 64=2^3x. a.x=1 b.x=2 c.x=2.5 d.x=3 Click here to see answer by oscargut(891)

 Question 146990: solve the following equation for x: 64=2^3x. a.x=1 b.x=2 c.x=2.5 d.x=3 Click here to see answer by Fombitz(13828)

 Question 147371: solve (x+10)(x-4)(x+6)>0 Click here to see answer by mangopeeler07(462)

 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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