SOLUTION: (b) i. Find an expression for y in terms of x, if log 4 + log(x – 1) = 3log y ii. Solve the system of equations log 4 + log(x – 1) = 3log y 2y – x = 3

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: (b) i. Find an expression for y in terms of x, if log 4 + log(x – 1) = 3log y ii. Solve the system of equations log 4 + log(x – 1) = 3log y 2y – x = 3      Log On


   

Question 1054906: (b) i. Find an expression for y in terms of x, if log 4 + log(x – 1) = 3log y
ii. Solve the system of equations
log 4 + log(x – 1) = 3log y
2y – x = 3
iii. Solve for x, log2(2x – 1) = 8

in iii.: log2, the 2 is actually a small one below the g
Answer by Alan3354(69443) About Me  (Show Source):
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i. Find an expression for y in terms of x, if
log 4 + log(x – 1) = 3log y
log(4(x-1)) = 3log(y)
log(y) = log(4x-4)/3
y = 10^((4x-4)/3)
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ii. Solve the system of equations
log 4 + log(x – 1) = 3log y
2y – x = 3
Sub for y
2*10^((4x-4)/3) – x = 3
-- No algebraic solution.
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iii. Solve for x, log2(2x – 1) = 8
log%282%2C%282x-1%29%29+=+8
2x-1 = 2^8 = 256
2x = 257
x = 257/2
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