Question

If log 2 + log (3x + 1) = log (2x - 9) + 2,
then what is the value of x?
Note : Assume all log represented above is to the base of 10.

Answer 1

log 2 + log (3x + 1) = log (2x - 9) + 2
log (6x + 2) = log (2x - 9) + log (100)
log (6x + 2) = log (200x - 900)
6x + 2 = 200x - 900
x = 4.6495.