# 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 47674: For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula,A=P(1+r/n)^nt , let r = 8%, P = 1, and n = 1 and give the coordinates (t,A) for the points where t = 0, 1, 2, 3, 4. Round the A value to the tenth's place. a) Show coordinates in this space. Show work in this space. b) Show graph here. Click here to see answer by Nate(3500)

 Question 47660: (a) Sketch the graphs of f(x) = 9^(x/2) and g(x) = 3^x (b) Use the Laws of Exponents to explain the relationships between these graphs Thank you Click here to see answer by Nate(3500)

 Question 47659: Sketch the graph of the function by making a table of values. Use a calculator if necessary. f(x) = (3/2)^x Thank you Click here to see answer by Nate(3500)

 Question 46884: Solve the equation 3log5 x - log5 4 = log5 16 Click here to see answer by consc198(59)

 Question 47867: Evaluate the expression: log4 Sqrt(2). I came out with 1/4 but that doesn't seem right. Thank you Click here to see answer by stanbon(57415)
 Question 47867: Evaluate the expression: log4 Sqrt(2). I came out with 1/4 but that doesn't seem right. Thank you Click here to see answer by Nate(3500)

 Question 47953: Use the Laws of Logarithms to rewrite the expression in a form with no logarithm of a product, quotient, or power log sqrt[x sqrt[y sqrt[z]]] I got = 1/2 logX [1/2 log y[1/2 log z]]] ? Thank you so much! Click here to see answer by stanbon(57415)

 Question 47958: Evaluate the expression log2 8^33 I tried to use the calculator on this and came up with 1.91^29 Thank you so much! Click here to see answer by stanbon(57415)

 Question 47956: Evaluate the expression e^(3ln5) I have no idea where they got this. Thank you so much! Click here to see answer by Nate(3500)

 Question 48040: Find the solution of the exponential equation,correct to 4 decimal places: e^3-5x = 16 I got: ln(e^3-5x) = ln16 3-5x = ln16 5x = 3-ln16 x= 1/5(3-ln16) = 0.3592 Does this seem correct? Thank you so much! Click here to see answer by stanbon(57415)

 Question 48041: Find the solution of the exponential equation,correct to 4 decimal places: 7^x/2 = 5^1-x I got: log 7^x/2 = log 5^1-x x/2log7 = (1-x)log5 Thank you so much! Click here to see answer by stanbon(57415)

 Question 48042: Solve the equation: x^2 10^x - x10^x = 2(10^x) I tried working this but came out with negative numbers. Thank you so very much Click here to see answer by stanbon(57415)

 Question 48039: Find the solution of the exponential equation,correct to 4 decimal places: 4(1 + 10^5x) = 9 I got: 1 + 10^5x = 9/4 10^5x = 9/4 - 1 10^5x = 3/2 5x = log 3/2 / log10 = 0.1003 x = 0.01938 Thank you so much for all your assistance and guidance! Click here to see answer by stanbon(57415)

 Question 48038: Find the solution of the exponential equation,correct to 4 decimal places: 10^-x = 2 I got: log10^-x = log2 -xlog10=log2 -x = log2/log10 = 3.3219 Thanks for your help!! Click here to see answer by stanbon(57415)

 Question 48194: Rewrite the expression as a single logarithm: ln(a + b) + ln(a - b) - 2 ln c Thank you very much! Click here to see answer by atif.muhammad(135)

 Question 48096: how do i solve log2x 16=-2. i cant solve it b/c of the negative. plz help me =[ Click here to see answer by Nate(3500)

 Question 47955: Evaluate the expression log sqrt(0.1) I got log 0.1^(1/2) = log .05 Thank you so much! Click here to see answer by Nate(3500)

 Question 48844: 20)FInd four consecutive integers whose sum is 336. 21) The length of a rectangle is 5cm greater than its width. The perimeter is 58 cm. Find the dimensions of the rectangle. Click here to see answer by checkley71(8403)

 Question 49437: i do not have just one question i need help on the whole thing. Click here to see answer by Nate(3500)

 Question 49929: this is a factoring question 6x^2+13x+6 how do i factor it?? Click here to see answer by Earlsdon(6288)

 Question 51141: i dont realli no how 2 word this...but wats it mean if theres an exponent before a sq. root (not after)...u multiply the sq. root by the exponent? Click here to see answer by rapaljer(4667)

 Question 51667: Could you please show me how to solve a number to a Power which is less than one such as: 12 to the power of 1/2 Thank you, Paul Click here to see answer by THANApHD(104)
 Question 51667: Could you please show me how to solve a number to a Power which is less than one such as: 12 to the power of 1/2 Thank you, Paul Click here to see answer by checkley71(8403)

 Question 51860: What is the solution to (25xy^2 + 75xyz +125x^2yz) divided by (-5x^2y)? I don't even know where to start on this one. Thank you so very much. This is not from a textbook. Click here to see answer by stanbon(57415)

 Question 52369: 3^x+2=15 solve to the nearest hundredth I need help with this problem Click here to see answer by Earlsdon(6288)

 Question 52324: ISBN:0-13-143073-4 Chapter 5 Section 4 Find the domain of each logarithmic function: (a) f(x)=log2 (x-5) Click here to see answer by rapaljer(4667)