# 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 133732: Convert to logarithmic equations. For example, the logarithmic form of "23 = 8" is "log2 8 = 3". ex = 5 Click here to see answer by dolly(163)

 Question 133731: Convert to logarithmic equations. For example, the logarithmic form of "23 = 8" is "log2 8 = 3". 16 3/2 = 64 Click here to see answer by dolly(163)

 Question 133730: Plot the graphs of the following functions. Submit the graphs to the dropbox along with your response. f(x)=6x Click here to see answer by dolly(163)

 Question 133893: this question comes from a teacher-made worksheet Solve 2 ways: ; x = -2 I have solved it one way, but I don't know the other: Click here to see answer by Ganesha(13)

 Question 133894: this problem came from a teacher-made worksheet ; I don't know where to start. Click here to see answer by Ganesha(13)

 Question 134011: Plot the graphs of the following functions. Submit the graphs to the dropbox along with your response. f(x)=6x Please show how I would get the points I just don't understand Click here to see answer by vleith(2825)

 Question 133931: Find the amount that will reult if \$9000 is invested for 2 years at 12% compounded monthly? Click here to see answer by elima(1433)

 Question 133929: What interest will be earned if \$3500 is invested for 5 years at 8% compounded quarterly? Click here to see answer by elima(1433)

 Question 133942: Radioactive strontium-90 is used in nuclear reactors and decays exponentially with an annual rate of decay of 2.48%. How much pf 50 grams of strontium-90 will be left after 100 years? Click here to see answer by ankor@dixie-net.com(15624)

 Question 133943: How long does it take 12 grams of carbon-14 to decay to 10 grams when the decay is exponential with an annual rate of decay of 0.0124%? Click here to see answer by ankor@dixie-net.com(15624)

 Question 133930: What interest will be earned if \$4000 is invested for 6 years at 8% compounded continously? Click here to see answer by vleith(2825)

 Question 134076: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half life of the substance Click here to see answer by Nate(3500)

 Question 134084: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half life of the substance: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half life of the substance The answer is actually 6.21 years how do I get this answer? Click here to see answer by Ganesha(13)

 Question 134074: If \$10000 is invested at 6% compounded continously, in approximately how many years will the amount have grown to \$15000? Click here to see answer by nycsharkman(136)

 Question 134183: Convert to exponential form. For example, the exponential form of "log5 25 = 2" is "52 = 25". log e 1 = 0 Click here to see answer by oscargut(891)

 Question 134316: Suppose that \$2000 is invested at a rate of 6% per year compounded continuously. What is the balance after 1 yr? After 2 yrs? Click here to see answer by MathLover1(6614)

 Question 134605: Write a power Function of the form y=ab^x whose graph passes through the given points: (4,3) (9,4.5) Click here to see answer by stanbon(57219)
 Question 134605: Write a power Function of the form y=ab^x whose graph passes through the given points: (4,3) (9,4.5) Click here to see answer by vleith(2825)

 Question 134777: Please help me solve- How much should be invested now at (i.e. fid the present value) 4% simple interest to have \$4620 in 8 years? Click here to see answer by checkley77(12569)

 Question 135115: how do you solve an equation with x as an exponent.... for ex. 7^x=3^x+1 Click here to see answer by solver91311(16868)

 Question 135153: write all real roots of the equation as a decimal. 8. x to the power of 3= 125 Click here to see answer by checkley77(12569)

 Question 135308: If the graph of y=x^2 is transformed to y=3(2)^(-1/4x-1)+1, what are the coordinates of the new focal point? I think (-4,4)???? Click here to see answer by stanbon(57219)

 Question 135480: Peter is growing two strains of yeast in the labratory. Strain A had originally had 80 cells and is known to quadruple every 2 hours. Strain B initially had 640 cells and doubles every 5 hours. When will Peter observe the same number of cells in the two yeast cultures? I tried A: y=80(4)^x/2 and B:y=640(2)^x/5 BUT I am not sure if I am correct:( Can someone please help me ??? Click here to see answer by stanbon(57219)

 Question 135479: If the graph of y=2^x is transformed to y=3(2)^(-1/4x-1)+1, what are the coordinates of the new focal point? I think it may be (-4,4) but I am not sure. Can someone please help me?? Click here to see answer by stanbon(57219)

 Question 135483: A baseball card valued at \$100 appreciates 8% every 3 years. If this appreciation rate continues ,write the function that represents the value of the card , V, after t years. Click here to see answer by stanbon(57219)

 Question 135518: this problem comes from a teacher-made worksheet: x = 100,-10 -10 is an extraneous solution, so x = 100 Click here to see answer by vleith(2825)

 Question 135544: givin logb 2 = 0.387 and logb 5 = .0898, find logb square root of 20. Click here to see answer by vleith(2825)

 Question 135651: Hi, Can you help me with this math problem? 13.) Find the function value. Let f(x) =5x.Find f(-2) The answer should be 1 over 25 Click here to see answer by stanbon(57219)
 Question 135651: Hi, Can you help me with this math problem? 13.) Find the function value. Let f(x) =5x.Find f(-2) The answer should be 1 over 25 Click here to see answer by solver91311(16868)

 Question 135656: Hi, Can you help me with this math problem? 14.) If a logarithmic equation is given, then rewrite it as an equivalent exponential equation. If an exponential equation is given, then rewrite it as an equivalent logarithmic equation. 4-2=1/16 the answer should be log4(1/16)=-2 Click here to see answer by stanbon(57219)

 Question 135664: Hi, Can you help me with this math problem? 16.) Find the inverse of the function. f(x)=log(x+9) The answer should be f-1(x)=10^x-9 Click here to see answer by stanbon(57219)

 Question 135648: Hi, Can you help me with this math problem? Solve the equation.Round your answer to three decimal places. 9x+6=3x The answer should be -12.000 Thanks Click here to see answer by checkley77(12569)

 Question 135665: Hi, Can you help me with this math problem? 17.) Solve the equation. Give an exact solution. 1n(3x-1)=1n 1 -1n (x-1) The answer should be 4/3 Click here to see answer by stanbon(57219)

 Question 135663: Hi, Can you help me with this math problem? 15.) Use a calculator and the base-change formula to find the logarithm to four decimal places. log9 (65.36) The answer should be 1.9024 Click here to see answer by stanbon(57219)

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