# 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 201660: log(square root of 1-x) - log(square root of x+2)=logx First I sqared both sides and got log 1-x -log x+2=log x squared then i performed the quotient property of logs and got log(1-x/x+2)=log x squared then I got 1-x =x squared (x-2) then I got X cubed - 2x+ x-1=0 Click here to see answer by RAY100(1637)
 Question 201660: log(square root of 1-x) - log(square root of x+2)=logx First I sqared both sides and got log 1-x -log x+2=log x squared then i performed the quotient property of logs and got log(1-x/x+2)=log x squared then I got 1-x =x squared (x-2) then I got X cubed - 2x+ x-1=0 Click here to see answer by stanbon(57203)
 Question 201660: log(square root of 1-x) - log(square root of x+2)=logx First I sqared both sides and got log 1-x -log x+2=log x squared then i performed the quotient property of logs and got log(1-x/x+2)=log x squared then I got 1-x =x squared (x-2) then I got X cubed - 2x+ x-1=0 Click here to see answer by solver91311(16868)

 Question 201085: Find the present value of \$15,000 due 5 years later at 6.1% compounded continuously. can someone help thanks Click here to see answer by rfer(12644)
 Question 201085: Find the present value of \$15,000 due 5 years later at 6.1% compounded continuously. can someone help thanks Click here to see answer by MathTherapy(1419)

 Question 201770: if you cant find the book then the question is log2 (x+1)-log4 x=1 i am having trouble solving for x the 2 and the 4 are the bases of the logs Click here to see answer by jsmallt9(3296)
 Question 201770: if you cant find the book then the question is log2 (x+1)-log4 x=1 i am having trouble solving for x the 2 and the 4 are the bases of the logs Click here to see answer by RAY100(1637)

 Question 201769: i get stuck after the first step and i need help solving for x Click here to see answer by Alan3354(30924)

 Question 202230: Square root of log[7]27 I can't figure out how to enter this problem into my calculator.. Click here to see answer by solver91311(16868)

 Question 202385: i nedd to know how to express this in a common logarithm log base 2 to the 25 power then approximate the decimals to the four places Click here to see answer by stanbon(57203)

 Question 202432: Can ANYONE help me with ANY of these? 1) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 3*4^0 = ____ 2) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1 / 4^-2 = ____ 3) Use the rules of exponents to evaluate or simplify. Write without negative exponents. (1/4)^-1/2 = _____ 4) Use the rules of exponents to evaluate or simplify. Write without negative exponents. (bm)^-3 = ____ 5) Use the rules of exponents to evaluate or simplify. Write without negative exponents. y^-5 / y^-2 = ____ 6) Use the rules of exponents to evaluate or simplify. Write without negative exponents. (-243)^3/5 = ____ 7) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 36^1/2 = ____ Thank you for your help, Sarah Click here to see answer by jim_thompson5910(28476)

 Question 202433: Can ANYONE help me with ANY of these? 1) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 3*4^0 = ____ 2) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1 / 4^-2 = ____ 3) Use the rules of exponents to evaluate or simplify. Write without negative exponents. (1/4)^-1/2 = _____ 4) Use the rules of exponents to evaluate or simplify. Write without negative exponents. (bm)^-3 = ____ 5) Use the rules of exponents to evaluate or simplify. Write without negative exponents. y^-5 / y^-2 = ____ 6) Use the rules of exponents to evaluate or simplify. Write without negative exponents. (-243)^3/5 = ____ 7) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 36^1/2 = ____ Thank you for your help, Sarah Click here to see answer by jsmallt9(3296)

 Question 202455: Can anyone help me with these problems??? 1) Use the rules of exponents to evaluate or simplify. Write without negative exponents. y^-5 / y^-2 = ____ 2) Use the rules of exponents to evaluate or simplify. Write without negative exponents. (-243)^3/5 = ____ 3) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 36^1/2 = ____ 4) Simplify by expressing fractional exponents instead of radicals. sqrt ab 5) Simplify by expressing fractional exponents instead of radicals. 8th root of x^2y^4 6) Simplify: 8th root of y^2 7) Simplify: 5 / sqrt of 5 8) Simplify: 3rd root of 27^2 Thank You for your help. :) ~Sarah Click here to see answer by stanbon(57203)

 Question 202471: I need help with these two problems please! Solve for x without tables: 1) x = log(base 5) 1 x= ____ 2) x = log(base e)sqrt of e x= _____ ~Sarah Click here to see answer by jim_thompson5910(28476)
 Question 202471: I need help with these two problems please! Solve for x without tables: 1) x = log(base 5) 1 x= ____ 2) x = log(base e)sqrt of e x= _____ ~Sarah Click here to see answer by stanbon(57203)

 Question 202463: Can someone help me with these? The directions are as follows: Use the table of logarithms to calculate the answers: 1) log 7.83 = 2) log .068 = 3) antilog 0.3814 = 4) antilog (8.3174 - 10) = Thanks! ~Sarah Click here to see answer by Theo(3458)

 Question 202793: find the equation of the tangent line to the curve y=9e^-7x at the point (0,9) y(x)= can someone help please thanks Click here to see answer by jsmallt9(3296)

 Question 202796: find the absolute maximum and minimum values on the closed interval [-1,8] for the function below. f(x)=x^(2/3)+5 not sure how to due thanks Click here to see answer by Earlsdon(6287)
 Question 202796: find the absolute maximum and minimum values on the closed interval [-1,8] for the function below. f(x)=x^(2/3)+5 not sure how to due thanks Click here to see answer by jsmallt9(3296)

 Question 202798: find the derivative f(x)=x^4*e^3x f'(x)= this is what I came up with and it says my answer is wrong- what did I do wrong f'(x) 4x^3*e^3x*3 Click here to see answer by stanbon(57203)
 Question 202798: find the derivative f(x)=x^4*e^3x f'(x)= this is what I came up with and it says my answer is wrong- what did I do wrong f'(x) 4x^3*e^3x*3 Click here to see answer by Earlsdon(6287)

 Question 202797: theater owner charges \$3.00 of admission, there is an average attendance of 100 people. for every .10 increase in the admission price , there is a loss of 2 customers from the average number. Teacher is asking what admission price should be charged in order to maximize revenue? what is the maximum revenue? I set it up R(x)= (3.00-.10x)(100-2x) am I on the right track not sure what to due next thanks Click here to see answer by stanbon(57203)

 Question 202839: According to the rule of signs, the equation f(x)=X^4+4X^3-2X^2+X-6 has a maxium of ____ negative roots? Click here to see answer by RAY100(1637)

 Question 202866: I need sooo much help... and i gladly appreciate your efforts in trying to teach me logarithms.... the directions are: change each logarithmic expression to an equivalent expression involving an exponent. some of the questions are: 1) log3^2=x 2) log 2 m=1.3 please if you can explain this in detail i would greatly appreciate it... Click here to see answer by stanbon(57203)

 Question 202903: Solve for x to four decimal places. The number e is the base of the natural logarithm function. thanks Click here to see answer by jsmallt9(3296)

 Question 202978: f(x)=In ((x^2+4)/3X)) partheness around the whole equation compute f'(x) then find the exact value of f'(6) f'(6)= not sure what to do can someone help thanks Click here to see answer by rfer(12644)
 Question 202978: f(x)=In ((x^2+4)/3X)) partheness around the whole equation compute f'(x) then find the exact value of f'(6) f'(6)= not sure what to do can someone help thanks Click here to see answer by stanbon(57203)

 Question 203001: Kaleah1 needs help in solving word problem below: Upstream, downstream. Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current? Click here to see answer by stanbon(57203)

 Question 203072: Convert the following equations into logarithmic form: a. 9 = 4x b. 3 = 6y c. 5 = 7y d. X = 9y Click here to see answer by jsmallt9(3296)

 Question 203088: can someone help me with this please thanks U.S. Population YEAR POPULATION 1930 122,800,000 1940 131,700,000 1950 150,700,000 1960 179,300,000 It is estimated that the limiting population that the United States can support is 500,000,000 people. Predict the population for the year 2000 using the logistic growth model on the basis of the data in the years 1950 and 1960. In other words: * Let P = P (t) be the population, where t is the number of years after 1950. * Assume P (t) is of the form given by the logistic equation. Determine what the value of L must be in this case. * Find the exact values of P (0) and P (10) from the U.S. Population table given above. Use these two data points to find the values of b and k in the formula for P (t). Note: Answer to the nearest 1 million people, and do not use commas in your answer. Click here to see answer by stanbon(57203)

 Question 203087: Find the absolute maximum and absolute minimum values of the function below. If an absolute maximum or minimum does not exist, enter NONE. f(x) = x^2 + 250/x on the open interval (0,infinity ) I know that the absolute max is the answer NONE but I can not figure out the absolute min can someone help please thanks Click here to see answer by jim_thompson5910(28476)

 Question 203166: In particular, identify a situation, event, context, etc. in your everyday life that can be described via either an exponential function OR a logarithmic function. Click here to see answer by rfer(12644)

 Question 203386: use logarithms to solve each equation: 3(superscript x)= 5(superscript 5x-1) Click here to see answer by Theo(3458)

 Question 203431: can someone help me with this please Find the area under the curve below from x = 1 to x = 6. Give your answer correct to 3 decimal places. y = 7/x thanks Click here to see answer by scott8148(6628)