# 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 432875: i really don't understand thisss. 2 log3 (x) + log 3 (5) = log3 (14x+3) Click here to see answer by Alan3354(30993)

 Question 433147: rewriting an expression with division of logs as a single log: simplify log64/log6 Click here to see answer by katealdridge(100)

 Question 433236: Need help with solving, If f(x)=2x+4, and g(x)=(x^2+x+5), find g(f(x)) Click here to see answer by solver91311(16897)

 Question 433268: log3(x-2) = 1+log3(x-4) The logs have a base of 3. How do I solve this? Click here to see answer by scott8148(6628)

 Question 433527: Use the "change of base" formula to find: log7 21 Click here to see answer by belle3833(46)

 Question 433524: Solve the equation by making the bases the same on each side of equation 4^x = 16 root 2 Click here to see answer by scott8148(6628)

 Question 433710: There are currently 60 million cars in a certain country, decreasing by 5% annually. How many years will it take for this country to have 34 million cars? A) 65 years B) 5 years C) 11 years D) 2 years Thank you for your help. Click here to see answer by rwm(914)

 Question 433782: Suppose that you are a mathematician for Well Oils Production ,Inc. Your company is planning to drill a well 50,000 feet deep,deeper than anyone has ever drilled before.Your part of the project is to predict the cost of drilling the well. From previous well records,you ascertain that the price is 20\$ per foot for drilling at the surface. and #30 per foot for drilling at 10,00 feet. Assume that the number of dollars per foot for drilling an oil well increases exponentially with the depth at which the drill is operating. a. White equation expressing price per foot in terms of depth. You might find it more convenient to express depth in thousands of feet. b. Predict the price per foot for drilling at depth of 20,30,40 and 50 thousand feet. c. Carefully plot the graph of the price per foot versus depth. Choose scales that make the graph occupy most of the piece of the graph paper. d. The area of the region under the graph represents the total number of dollars it costs to drill the well. You can see the reason by considering the units of this area. The vertical distance is \$/ft and the horizontal distance is ft.,so the area has units A=(dollars/foot)*feet, or simply dollars. Count the number of squares in this region on your graph. Estimate fractional squares to the nearest 0.1 unit. When you study calculus, you will learn how to calculate such areas from the equation without having to count squares. e. calculate the number of dollars corresponding to each square. For example, if the horizontal spacing is 2000 feet, and the vertical spacing is 5\$/ft, then each square corresponds to (2000)(5)=\$10000 f. Calculate the total cost of drilling the well. Click here to see answer by psbhowmick(529)

 Question 433757: (1/3) to the power of x = 6 to the 1-x power I have tried to solve this but I keep getting different answers. What are the correct steps and solution? Thank you Click here to see answer by ankor@dixie-net.com(15656)

 Question 434037: write an exponential function y=ab^x for a graph that include (4,8) (6,32) Click here to see answer by scott8148(6628)

 Question 434663: I am having difficulty with this logarithmic equation. I have completed many problems like it, but this one eludes me. 4^(x+3) = 3^(-x) Could someone help me with this problem. Maybe some example problems would help. Thank you. Click here to see answer by Alan3354(30993)

 Question 434824: How to graph equation? y = log5(under long)x Click here to see answer by stanbon(57361)

 Question 434828: how can i find when the co2 ppm will double the preindustrial age of 280ppm with 2000 being x=0 2001 is = to 1 and so on untill 2200 in the year 2000 co2 ppm 364 and 2050 is 467 and 2100 is 600ppm, 2150 is 769 and 2200 is 987 with F(x)= Ca^x Click here to see answer by stanbon(57361)

 Question 434818: Evaluate the expressions 1. log52 ( the 5 is under log) 2. log25 ( the 2 is under log) Click here to see answer by Alan3354(30993)

 Question 434856: suppose that a certain radioactive substance has a half life of 20 years. if there is presently 2500 milligrams of the substance, how much, to the nearest milligram will remain after 40 years? after 50 years? Click here to see answer by stanbon(57361)
 Question 434856: suppose that a certain radioactive substance has a half life of 20 years. if there is presently 2500 milligrams of the substance, how much, to the nearest milligram will remain after 40 years? after 50 years? Click here to see answer by solver91311(16897)

 Question 435006: Evaluate 5^(2x+3) = 3^(x-1) Get bases the same or use ln. The numbers in () are exponents. Click here to see answer by stanbon(57361)

 Question 435260: the graph of f(x) shown below, resembles the graph of g(x)=x^2, but it has been flipped over the x-axis and shifted down 4 units and left 1 unit. write the equation of f(x). step1: using the equation f(x)=x^2, write the equaton for the groah that has been flipped over the x-axis. step2: using the equation written in step 1, write the equation for the graph that has also been shifted down 4 units. step3:using the equation written in step 2, write the equation for the graph that has also been shifted left 1 units. Click here to see answer by ewatrrr(10682)

 Question 435773: How to solve log 5 (3x-6)=4? the answer is 631/3 How did they get the answer? How to solve on ti-83 plus? Thanks Click here to see answer by Alan3354(30993)

 Question 436258: 4log(base 3)(2x+1) -7 = 1 solve for x Click here to see answer by ewatrrr(10682)

 Question 436256: m=a (over)1+be^x numerator is A demoninator is 1+be^x solve for x. Click here to see answer by josmiceli(9686)

 Question 436260: solve for x log(base 10)X+log(base 10)(X+1) = log(base 10)12 Click here to see answer by nerdybill(6962)

 Question 436304: ln sqrt (x) = 9 solve for x Click here to see answer by MathLover1(6634)

 Question 436307: log(base 4)X+log(base 4)(X+6) = 2 solve for x Click here to see answer by ewatrrr(10682)