Find x if 162+x4=64x | Green Bridge

Question 1 Report

Find x if $\frac{16^{2 + x}}{4} = 64^{x}$

-3

-5

Answer Details

$\frac{16^{2 + x}}{4} = 64^{x}$

16 $^{2 + x} = 4 \times 64^{x}$

4 $^{2 (2 + x)} = 4^{1} \times 4^{3 (x)}$

(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.