162+x4=64x\frac{16^{2+x}}{4} = 64^x4162+x=64x
162+x=4×64x^{2+x} = 4 \times 64^x2+x=4×64x
42(2+x)=41×43(x)^{2(2+x)} = 4^1 \times 4^{3(x)}2(2+x)=41×43(x)
(Equate coefficients since the bases are the same)
2(2 + x) = 1 + 3x
4 + 2x = 1 + 3x
2x - 3x = 1 - 4
-x = -3
x = 3.
