Answer:
x = 2
Explanation:
Using the rule of exponents
=

Note that 49 = 7² and 343 = 7³
Consider the left side, that is
=
=
, thus
= 7³
Since bases on both sides are equal, equate the exponents, that is
2x - 1 = 3 ( add 1 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2