SOLUTION: Solve for x: (A.) (5/2) log(base 4)4 = log(base 4)(2x-3) (B.) Log(base 3)(x+2)- log(base 3)x = log(base 3)10 (C.) Log(base 8)x = (3/4)log(base 8)81

Question 67242This question is from textbook Advanced mathematics
: Solve for x:
(A.) (5/2) log(base 4)4 = log(base 4)(2x-3)
(B.) Log(base 3)(x+2)- log(base 3)x = log(base 3)10
(C.) Log(base 8)x = (3/4)log(base 8)81 This question is from textbook Advanced mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve for x:
(A.) (5/2) log(base 4)4 = log(base 4)(2x-3)
log(base 4) 4^(5/2) = log(base 4)(2x-3)
log(base 4) 32 = log(base 4)(2x-3)
2x-3=32
2x=35
x=17.5
--------------
(B.) Log(base 3)(x+2)- log(base 3)x = log(base 3)10
log(base 3)[(x+2)/x]=log(base 3)10
[(x+2)/x]=10
x+2=10x
9x=2
x=2/9
---------------
(C.) Log(base 8)x = (3/4)log(base 8)81
log(base 8)x = log(base 8)8^(3/4)
log(base 8)x=(3/4)
x=8^(3/4)
x=4.7568
Cheers,
Stan H.
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