Keep in mind: logarithmic definition a = log(base b)(b ** a) where ** is exponent and the fact that these logs are the same base (base 10)
Log(base10)(x+1)-log(base10)(10x-3)=1
Log(base10)(x+1)-log(base10)(10x-3) + log(base10)(10x-3)=1 + log(base10)(10x-3)
log(base10)(x+1) = 1 + log(base10)(10x-3)
since 1 = log(base 10)(10) since 10 = 10 ** 1
log(base10)(x+1) = log(base 10)(10) + log(base10)(10x-3)
log(base10)(x+1) = log(base10)(10(10x -3)) since all logs have same base of 10
x + 1 = 10(10x -3)
x + 1 = 100x - 30
-99x = - 31
x = -31/-99 = 0.31
