# Questions on Algebra: Logarithm answered by real tutors!

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 Algebra: Logarithm Solvers Lessons Answers archive Quiz In Depth

 Question 369528: Assume that x, y, z, and b (b ≠ 1) are positive numbers. Use the properties of logarithms to write the expression in terms of the logarithms of x, y, and z. logb(x/yz) Click here to see answer by Fombitz(13828)

 Question 369496: Solve the logarithmic equation algebraically. Round to three decimal places. log base(4)5x- log(4)(6+sq root of x)=2 Click here to see answer by CharlesG2(828)

 Question 369525: Simplify the expression as a single quantity: logb(xy+y^2)-logb(xz+yz)+logb^2 Click here to see answer by Fombitz(13828)

 Question 369662: Solve the following to the nearest hundredth. I am only able to get this problem so far, then I get stuck. This is what I have done so far: I am not sure as to what the next step in solving this problem is, the three at the beginning of the 3log6 is my issue with solving this equation Click here to see answer by edjones(7569)

 Question 369671: Using the power law solve the folowing to the nearest hundredth. I can get the problem so far and then I get confused as to what I should do next. (x+2)log2 = (x-1)log5 xlog2 + 2log2 = xlog5 - log5 xlog2 -xlog5 = -log5 - 2log2 x(log2/5) = And now I am stuck, if anyone could help me wth what to do next, it would be greatly appreciated. Thanks Click here to see answer by Fombitz(13828)

 Question 369739: how to you write 3 times the natural logarithm of x to the third times y plus 2 times the natural logarithm of y times z to the third as a single natural logarithm? so 3*ln(x^(3)y) + 2*ln(yz^2) I know using the power rule that the 3 and 2 can be moved to ln(x^(3)y)^3 + ln(yz^2)^2 i also know about the product rule but i don't know how far this can be simplified because of the parentheses around the (x^(3)y) and (yz^2). Click here to see answer by nerdybill(6948)

 Question 369963: write each expression as a sum or difference of logarithms (or constants times logarithms) a. logxyz Click here to see answer by robertb(4012)

 Question 370187: rewrite as a single logarithm In 5 + In b - In c Click here to see answer by Fombitz(13828)

 Question 370183: rewrite as single logarithm 1/2 log x+4 log y-3 log z Click here to see answer by Fombitz(13828)

 Question 370557: Please help me solve this problem. I need to know the steps to solving it, not just the answer for x. log3(x-1)=log3 4 Both the 3's are small but I couldn't figure out how to type it into this correctly. Thank you. Click here to see answer by stanbon(57219)

 Question 370922: I am looking for the step by step way to solve: 9^(3x-1)=3^2x THanks! Click here to see answer by scott8148(6628)

 Question 371163: Find the domain of the function f(x) = log (x/(x+1)) Click here to see answer by edjones(7569)

 Question 371157: Change the exponential statement N^2 = 5 to an equivalent logarithmic statement. Type logb x as log{b} (x) Click here to see answer by robertb(4012)

 Question 371160: Solve the equation logx(4) = 2. Give the solution(s) in fractional form. Click here to see answer by robertb(4012)
 Question 371160: Solve the equation logx(4) = 2. Give the solution(s) in fractional form. Click here to see answer by jsmallt9(3296)

 Question 371158: Solve the equation log5(x - 7) = 2. Give the solution(s) in fractional form. Click here to see answer by jsmallt9(3296)

 Question 370846: If log_b 2 = x and log_b 3 = y, evaluate the following in terms of x and y: (a) log_b 432 = (b) log_b 162 = Click here to see answer by jsmallt9(3296)