log(5x+1) = log(2x+3) + log 2
2007-11-24 18:27:41 · 7 answers · asked by damasta_007 1 in Science & Mathematics ➔ Mathematics
log (5x + 1) - log (2x + 3) = log 2
(5x + 1) / (2x + 3) = 2
5x + 1 = 4x + 6
x = 5
2007-11-24 19:53:11 · answer #1 · answered by Como 7 · 2⤊ 1⤋
x = 5
Solution:
log(5x + 1) = log (2x + 3) (2) / based on properties/
log (5x + 1) = log (4x + 6)
Then:
5x + 1 = 4x + 6
x = 5.
2007-11-24 18:33:40 · answer #2 · answered by Anonymous · 1⤊ 1⤋
x=5
2007-11-24 18:33:56 · answer #3 · answered by nitish 1 · 1⤊ 1⤋
log(5x+1) = log(2x+3) + log 2
Applying log rule-
log A + log B = log (A multiplied by B)
log(5x+1) = log(2x+3) + log 2
log(5x+1) = log [ 2 multiplied by ( 2x + 3 ) ]
ie log(5x+1) = log [ 2(2x + 3) ]
ie log ( 5x + 1 ) = log ( 4x + 6 )
Taking anti log of both the sides -
5x + 1 = 4x + 6
x = 5 ..................... Answer
2007-11-24 18:46:30 · answer #4 · answered by Pramod Kumar 7 · 0⤊ 1⤋
log(5x+1) = log(2x+3) + log(2)
log(5x+1) = log(4x+6)
5x+1 = 4x+6
x = 5
Key concepts:
1: log(a*b) = log(a) + log(b)
2: if log(x) = log(y), then x = y and x>0 and y>0
2007-11-24 18:32:54 · answer #5 · answered by MooseBoys 6 · 2⤊ 1⤋
log(2x+8) = a million+log(x-3) log(2x+8) - log(x-3) = a million log [(2x+eighty)/(x-3)]= a million (2x+eighty)/(x-3) = 10 (2x+eighty) = 10x-30 -8x = -one hundred ten x=one hundred ten/8 x=13.seventy 5 in case you dont learn this your self then how can you pass tests?
2016-12-16 18:07:48 · answer #6 · answered by pariasca 4 · 0⤊ 0⤋
5 i think
2007-11-24 18:37:20 · answer #7 · answered by Anonymous · 0⤊ 0⤋