We'll add log 5 both
sides:
log 2x - log 5 + log 5 = 1 + log
5
log 2x = log 10 + log
5
We'll use the product property, for the sum from the
right side:
log 2x = log
50
We'll subtract log 50 both
sides:
log 2x - log 50 =
0
We'll use the quotient property of the
logarithms:
log 2x/50 =
0
2x/50 = 10^0
We'll cross
multiply:
2x = 1*50
We'll
divide by 2:
x = 25
Since x is
positive, the equation has the solution x=25.
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