2*10^(2-x) =5 divide both sides by 2
10^(2 - x) = 5/2 take the base 10 log of eac side
log 10^(2 - x) = log (5/2) and we can write
(2 - x) log 10 = log (5/2) since log 10 = 1, we can ignore this, so
2 - x = log (5/2) add x to both sides and subtract log(5/2) from both sides
2 - log (5/2) = x ≈ 1.602