Question

solve the following Equations
x^-3/4=1/8​

Answer 1

Answer:

Step-by-step explanation:

x⁻³/₄ = 1/8

=> 1/x³/⁴ = 1/8

=> x³/⁴ = 8

//Take log₂ on both sides

=> Log₂(x³/⁴) = Log₂(8)

=> Log₂(x³/⁴) = Log₂(2³)

=> 3/4Log₂x = 3Log₂2  

=> 3/4Log₂x = 3 Log₂2

//3 can be cancelled on both sides.

=> 1/4 Log₂x = Log₂2

=> Log₂x  = 4 Log₂2

=> Log₂x = Log₂(2⁴)

=> Log₂x = Log₂16

=> x = 16.