# 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 163298: Is this right? I'm not sure. Using the table of logarithms find the value of each expression. cube root of 100 ? this is what I have 100 ^1/3 1/3 log 100 1/3 log 1 * 10^2 1/3 0 + 2 answer 2 That just doesn't look right. Can anybody help??? Click here to see answer by Alan3354(30939)

 Question 165019: An investment of \$25,400 is placed into an account that earns 6.5% interest compounded quarterly. In how many years will the investment be worth twice the original amount? I am thinking I would use the compound interest formula A = P(l + i)^n I had set it up like below but I seem I am doing it wrong. Should I have went with 4 or 12? any help appreciated i = 6.5%/4 = .065/4 = .01625 101600 = 25,400(1 + .01625)^n 101600 = 25400(1.01625)^n 4 = (1.01625)^n log4 = log(1.01625)^n log4 = n log 1.01625 log4/log1.01625 = n 86.0017 = n 86.0017/4 = 21.50004 In approx. 21.5 years , the investment will be worth \$101,600. Click here to see answer by jojo14344(1512)

 Question 165154: Express as a single logarithm with a coeffiecient of 1: 2*log(x)- 2*log(y)+4*log(z) Many thanks for helping! Click here to see answer by gonzo(654)

 Question 165278: 2^3x+1=13.4 Please let me know if I am wrong, Thanks log2^3x+1 = log13.4 (3x+1)log2 = log13.4 3x+1 = log13.4/log2 3x+1-1 = 3.7441-1 3x = 2.7441 3x/3 = 2.7441/3 x=.9147 Click here to see answer by padmameesala(42)

 Question 165459: how do you do arithmetic and geometric series ? Example 2 + 10 + 18 + 26 +...;find S10 3 + 15 + 75 + 375 + ...; find S 7 Click here to see answer by stanbon(57214)

 Question 165711: The level of thorium in a sample decreases by a factor of one half every 4.2 million years. A meteorite is discovered to have only 7.6% of its orginial thorium remaing. How old is the meteorite? Click here to see answer by scott8148(6628)
 Question 165711: The level of thorium in a sample decreases by a factor of one half every 4.2 million years. A meteorite is discovered to have only 7.6% of its orginial thorium remaing. How old is the meteorite? Click here to see answer by gonzo(654)

 Question 165939: Find the derivative of the following: f(x)=1/3x-(2x+5)^2/3 Thankyou very much. Click here to see answer by stanbon(57214)

 Question 165957: How do I find the domain of g(t) = 5^t Thank you Click here to see answer by oscargut(891)

 Question 166196: Can anyone let me know if I'm doing this correctly? Write in exponential form and simply a) cube root of x^5y^5 - x^5/3y^5/3 Can this simply? b) cube root of x^2y - x^2/3y^1/3 c) cube root of a multiplied by fifth root of a - a^1/3 x a^1/5 = a^8/15 THannks!! Click here to see answer by jim_thompson5910(28476)

 Question 166450: Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = 2x^3 - x^2 - 12x + 6 Click here to see answer by stanbon(57214)

 Question 166732: 3+ Log(2x+5)= 2 I have tried this problem and I am not coming up with the correct answer...can you please guide me? Click here to see answer by nerdybill(6948)
 Question 166732: 3+ Log(2x+5)= 2 I have tried this problem and I am not coming up with the correct answer...can you please guide me? Click here to see answer by vleith(2825)

 Question 167296: Use the properties of logarithms to rewrite each expression as a single logrythm. (logb K - logb M)- logb a Click here to see answer by midwood_trail(310)

 Question 167361: Solve the following equation. Give exact answer to and a decimal aproximation to 2 decimal places of accuracy if needed. 3^(2x)-20=3^(x) Click here to see answer by Alan3354(30939)

 Question 167477: I need lots of help with my homework. We are going over the laws of exponents. I understand most of it. Just not problems where you have to divide and the base number is larger on top than on bottom. My problem is: 12m^8y^6 _________ -9my^4 (^=power) Click here to see answer by nerdybill(6948)

 Question 167495: My problem is: -(4w^-3z^-5)(8w)^2 I have the answer as (-4w^3z^5)(64w^-8) But I'm pretty sure that is wrong. Can you walk me through it? Thanks so much. Click here to see answer by Earlsdon(6287)

 Question 167493: I need more help on my homework. Thanks for everything. The ^'s are for the exponents. I'm working on Laws Of Exponents. -27x^3(-x^7) ___________ 16x^4 I'm not sure what to do in this problem. Click here to see answer by checkley77(12569)

 Question 167592: I have a word problem that I need help with. I must show my work. 1. In a certain area, the sale price of new single-family homes has increased 4.1% per year since 1992. If a house was purchased in this area in 1992 for \$75,000 and the growth continues, what will be sale price in 2006? Use y=a(1+r)^t and round to the nearest cent. Thanks Click here to see answer by checkley77(12569)

 Question 167591: Will someone please help me on these two problems. I was absent and have a test on them later today. 1. Use log5 2~0.4307 and log5 3~0.6826 to approximate the value of log5 12. 2. Express log6 19 in terms of common logarithms. Then approximate its value to four decimal places. I must show my work. Can you please help me through these Thanks Click here to see answer by nerdybill(6948)

 Question 167590: Can someone please help!!! Round to four decimal places if necessary. 1. (1/5)^t-2=125 2. log4(x-9)=2 3. log4z+log4(z-3)=1 4. 3.9^m-4=10.21 I have to show my work and these I don't understand how to do. Thanks Click here to see answer by nerdybill(6948)

 Question 167800: (x-4)*(x-square root of five)*(x+square root of five) find the equation for this problem Click here to see answer by Alan3354(30939)

 Question 167821: Simplify by removing non-positive exponents: x^-1 + y^-1 / x^-2 - y^-2 Click here to see answer by Alan3354(30939)

 Question 167820: Simplfy by removing non-positive exponents: x to the -1 plus y to the -1 divided by x squared minus y squared. Click here to see answer by checkley77(12569)
 Question 167820: Simplfy by removing non-positive exponents: x to the -1 plus y to the -1 divided by x squared minus y squared. Click here to see answer by nerdybill(6948)

 Question 167904: Please help with this question "Express as a single logarithm and, if possible, simplity." 1. 2/5 log(a)x - 1/3 log(a) y 2. ln 2x + 3(1n x - ln y) Thank you. Click here to see answer by jim_thompson5910(28476)

 Question 167957: Simplify the expression.Variables represent positive real numbers. n^1/5(n^2/5-n^-1/5) How do I complete this problem? Click here to see answer by nerdybill(6948)

 Question 167970: How do I solve for x? Log x 1/64= -3 Click here to see answer by jim_thompson5910(28476)

 Question 168767: 2x e = 8 not sure how to type it but e raised to the 2x = 8 Click here to see answer by jim_thompson5910(28476)
 Question 168767: 2x e = 8 not sure how to type it but e raised to the 2x = 8 Click here to see answer by stanbon(57214)

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