Question

Solve
2
3
x
−
1
+
3
=
19
for
x
. What is the most accurate value of
x
?

Answer 1

I’m not sure how to parse the expression you typed. Do you mean one of these?

1) 2^(3x − 1) + 3 = 19
2) 2/(3x − 1) + 3 = 19
3) (2/3)x − 1 + 3 = 19

If so, the solutions are:

1) 2^(3x−1)+3=19 → 2^(3x−1)=16=2^4 → 3x−1=4 → x=5/3 ≈ 1.6666667
2) 2/(3x−1)+3=19 → 2/(3x−1)=16 → 3x−1=2/16=1/8 → x=3/8 = 0.375
3) (2/3)x −1 +3=19 → (2/3)x +2=19 → (2/3)x=17 → x=25.5

Tell me which form you meant (or paste the equation using parentheses or ^ for exponents) and I’ll confirm.