log 10 x - 1 = log 10

We'll add 1 both sides:

log
10 x - 1 + 1 = log 10 + 1, but log 10 = 1

log 10x = log 10
+ log 10

We'll use the product property, for the  sum from
the right side:

log 10x = log
10*10

log 10x = log
100

Because the bases of the logarithms are matching, we'll
use the one to one property:

10x =
100

We'll divide by 10 to isolate
x:

x = 10 > 0

Since x
is positive, the equation has the solution x=10.