Question

Find x such that( 2)^-5/2^(-10)*(2)^4 = (2)^2*(2)^3x-5​

Answer 1

Answer:

x = 4

Step-by-step explanation:

$\frac{ {2}^{ - 5} }{ {2}^{ - 10} } \times {2}^{4} = {2}^{2} \times {2}^{3x - 5} \\ {2}^{ - 5 - ( - 10)} \times {2}^{4} = {2}^{2 + 3x - 5} \\ {2}^{5} \times {2}^{4} = {2}^{3x - 3} \\ {2}^{5 + 4} = {2}^{3x - 3} \\ {2}^{9} = {2}^{3x - 3}$

The base is equal, therefore,

9 = 3x - 3

3x = 9 + 3 = 12

x = 12/3 = 4