# 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 273795: If i had an equation to y=ab to the x, and it went to -1=(-3)b to the -1, what would b end up being?? Click here to see answer by jim_thompson5910(28595)

 Question 274326: How do you work out the problem: logbase10(3m-5)+logbase10m=logbase102 Click here to see answer by edjones(7569)

 Question 274430: how to solve each of these questions a.) 2x=1/32 b.) 120x=25 c.) (4/9)^x= 81/16 thank you.......:) Click here to see answer by stanbon(57348)

 Question 274680: solve for x: log(base8)(2x+3) + log(base8)(x+1) = 1 Click here to see answer by nerdybill(6959)

 Question 274677: find the inverses: F(x)= 3 * 5^x - 1 : G(x)= log(base5)(2x-7) Click here to see answer by edjones(7569)

 Question 274665: find all numbers "x" that satisfy the given condition: x^2 + 10x + 16 = e^3 Click here to see answer by edjones(7569)

 Question 274779: Can someone please explain why logbx/ logby does not equal logbx - logby? Click here to see answer by jim_thompson5910(28595)

 Question 274916: how i do solve 2^x-1=1/64? Click here to see answer by edjones(7569)

 Question 274877: Hi, Evaluate: log to the base 3 1/27 log3 1/27 Thank you Click here to see answer by edjones(7569)

 Question 275109: I can do some of this problem, except for the very last part. Solve: 3e^4x+7=9. I get all the way down to the part where you have to divide by 4 and can't get the correct answer. The answer is x=-1.4753 How do I divide this using the TI-84 4x over 4 cancels out to be just x. But the ln 3-7 divided by 4. I cannot figure out how to enter it in the calculator. I have tried every way possible and it is not working. Thanks Click here to see answer by nerdybill(6959)

 Question 275217: to the nearest full day determine how long it will take for 400 millicuries of I-131, which has a half life of 8 days, to decay to 3.125 millicuries? Click here to see answer by ankor@dixie-net.com(15652)

 Question 275387: What is the exponent of x^(2/3)=36? what is the inequality of 2^(x+7) > 1/3^(2) what is the exponent of 3^(2x-1)=1/243 Click here to see answer by Alan3354(30993)

 Question 275383: Find the number of years it will take for \$31,000 to grow to 33,405.06 at 3% interest compounded quarterly. I am going wrong somwhere toward the end of the problem. We have to use the graphing calculator. We don't have to graph it, but just use the calculator to find the answer. I get all the way down to the end. Where it will ask to solve for t. It comes down to log(1.08)/4log(1.0075)=t I entered it in the calculator exactly like this log(1.08)/4log(1.0075) My answer comes out to 2.711547965E-5. It says round to the nearest tenth and when I put down 2.7 I got it wrong. It came out to 2.5. Where could I be going wrong? Thanks.... PS: Also how do I thank a tutor for their help? I can't find how to leave feedback. Click here to see answer by scott8148(6628)
 Question 275383: Find the number of years it will take for \$31,000 to grow to 33,405.06 at 3% interest compounded quarterly. I am going wrong somwhere toward the end of the problem. We have to use the graphing calculator. We don't have to graph it, but just use the calculator to find the answer. I get all the way down to the end. Where it will ask to solve for t. It comes down to log(1.08)/4log(1.0075)=t I entered it in the calculator exactly like this log(1.08)/4log(1.0075) My answer comes out to 2.711547965E-5. It says round to the nearest tenth and when I put down 2.7 I got it wrong. It came out to 2.5. Where could I be going wrong? Thanks.... PS: Also how do I thank a tutor for their help? I can't find how to leave feedback. Click here to see answer by ankor@dixie-net.com(15652)

 Question 275518: When x = 2 and y = 3, z = 42. Write the function that models each of the following relationships. 1. z varies inversely with x and directly with y. (1 point) 2. z varies jointly with x and y (1 point) 3. z varies directly with x and inversely with the square of y (1 point) Click here to see answer by Theo(3464)

 Question 275645: is the following statement true, log4 power2 = 1/2 Click here to see answer by solver91311(16885)

 Question 275716: what is 5^x=25 converted into logorithium form? Click here to see answer by stanbon(57348)

 Question 276011: what is the relationship between horizontal shifts and vertical stretches of exponential functions Click here to see answer by stanbon(57348)

 Question 276066: If log sub2 x=7, evalutate log sub2 16x^2 So 2^7 then would it be 2^16x^2?? I'm so confused on even how to begin?? Click here to see answer by jsmallt9(3296)

 Question 276084: log25(base2).log8(base11).log11(base5) Click here to see answer by jsmallt9(3296)

 Question 275924: I am going to try to write this question so that it is easy to understand...I hope. I am writing it out, as I am not real sure how to write it using a formula that may be available through this site. I have tried several times and cannot get the correct answer. I don't understand how to get the final answer. Such as 1/x or 1/x^2 and so on. It says: Use the properties of the logarithms to write the expression as one logarithm. I can't find what property has anything to do with the square root symbol. That is the part that mainly confuses me. 4 log base 4 2(SQRT(x) - 3 log base of 4 x. It is a square root with a 2 in the index and an x underneath. Thanks in advance if anyone can explain this. Click here to see answer by jsmallt9(3296)

 Question 276104: (ax)^-2 write in simplest form without negative exponents. leave it as a fraction. i think the answer is ax/100 is this correct Click here to see answer by jsmallt9(3296)

 Question 276220: a(t)=82-12 log(6+1) After how many months will the average score be 60? t= time in months Click here to see answer by Alan3354(30993)

 Question 276159: solve for x: logbase5(625)=x Click here to see answer by jsmallt9(3296)

 Question 276215: log10S=0.425 log10W+.725 log10H+log10 71.8 Use the properties of logarithms to write a formula for S without logarithms Click here to see answer by jsmallt9(3296)

 Question 276236: use the exponential growth function, P(t)=Poe^kt, to find the value of k, then write the write the function for this population as a function of time, t. 1984= 746,388,000 1974=574,220,000 t=0 1974 t=10 1984 Click here to see answer by jsmallt9(3296)

 Question 270861: Please help me solve this problem. Find y in the equation: log2 64=y Click here to see answer by Alan3354(30993)

 Question 276317: e^-3x=5 is the answer 5? Teachers examples weren't helpful! Click here to see answer by edjones(7569)

 Question 276391: 5000e^(.069)(20) I know the answer is 19,874.51, I just don't know how to get the answer. can you explain to me it to me? Click here to see answer by Alan3354(30993)

 Question 276285: Given f(x)=3log6(2x-1) find f(5)to the nearest hundredth. Click here to see answer by jsmallt9(3296)

 Question 276286: Solve Equation log5(3x-1)=1 I can't figure this one out, any help would be appreciated!! log x+log(x-3)=1 I solved this one but wanted to make sure I'm doing this correct log(x(x+3))=1 x(x+3)=10^1=10 x^2+3x=10 x^2+3x-10=0 (x+5)(x-2)=0 x=-5, 2 Click here to see answer by jsmallt9(3296)

 Question 276310: Solve Equation Problem: 16^-x+2=8 -x+2=log16(8) Have I started this correctly, I'm very confused!! Click here to see answer by jsmallt9(3296)

 Question 276464: Solve equation 5^x^2+x=1 Really need help, its appreciated. Click here to see answer by jsmallt9(3296)
 Question 276464: Solve equation 5^x^2+x=1 Really need help, its appreciated. Click here to see answer by Alan3354(30993)

 Question 276650: 5^(x^2 + x) = 1 is the correct answer x=0? Click here to see answer by user_dude2008(1861)
 Question 276650: 5^(x^2 + x) = 1 is the correct answer x=0? Click here to see answer by Alan3354(30993)

 Question 276654: log5 (3x-1) = 1 Is this the correct answer for this problem log5 (3x-1) = 1 5^1 = 3x-1 5 = 3x-1 6 = 3x x = 2 Click here to see answer by Alan3354(30993)

 Question 276679: i have a question. i am asked to put in simplest form. (2/3)^-2(4/5)^-1. im not sure about the answer. i think its 7/2 is that correct. i would appreciate the help. thanks a bunch Click here to see answer by jsmallt9(3296)

 Question 276564: The lens equation for a camera is 1/f= 1/di+1/d0, where f is the focal length of the lens, di is the distance between the lens and the film, and d0 is the distance between the lens and the object. For a certain camera, an object that is 18 cm from the lens is in focus when the lens is 9 cm from the film. What is the focal length of the lens? this is what i worked it out too-> 1/f= 4/9 Click here to see answer by jsmallt9(3296)

 Question 276809: *URGENT* use the exponential growth function, P(t)=Poe^kt, to find the value of k, then write the write the function for this population as a function of time, t. Use the function to presict the population in 2005 if it continues to decline at the same rate. 1984= 746,388,000 1974=574,220,000 t=0 1974 t=10 1984 The answer has to be 15,531 Click here to see answer by jsmallt9(3296)

 Question 276828: how do you enter logrithmic expressions into the calculator with subscripts Click here to see answer by jsmallt9(3296)

 Question 276846: how do you solve, 2logx + log4=2? Click here to see answer by vleith(2825)

 Question 276971: solve for x: log(of base 7)x = (1/2)log(of base 7)36-(4)log(of base 7)2 Click here to see answer by edjones(7569)

 Question 277085: Two standard number cubes are tossed. State whether the events are mutually exclusive by answering with yes or no. 4. The product is greater than 6; the sum is less than 7. [i think its yes] 5. The sum is odd; the product is odd. [i think its no] Click here to see answer by jsmallt9(3296)

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