What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1?
1 answer:
Answer:
1.95
Step-by-step explanation:
hello :
ln (x + 6) – ln (2x – 1) = 1 ...(*)
this expression exist : 2x-1 > 0 and x+6 > 0 means : x> 1/2 and x > -6
hence for : x> 1/2 (*) equivalent to ln((x+6)/(2x-1))= lne.......(1=lne)
(x+6)/(2x-1) = e
x+6 = e(2x-1) means : x+6 = 2ex-e
-x+2ex = e+6
x(2e-1) = e+6
x = (e+6)/(2e-1) =(2.73+6)/(2(2.73)-1) =8.73/4.46 =1.95
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