To solve 49^3x=343^2x+1, write each side equation in terms of base

Create equivalent expressions in the equation that all have equal bases. 72 (3x) = 73 (2x+1) 72 (3x) = 73 (2x+1) Since the bases are the same, then two expressions are only equal if the exponents are also equal. 2 (3x) = 3 (2x+1)