LOG AND EXPONENTIAL

Question

Log₄1=______ (fill in the blank)

 

For parts a and b 

 let x=Log_{4 1/16}

 

a) Write the exponential form of the equation.

b)Determine the numerical value of x, in simplest form. Show work.

 

Answer 1

log_xa=b  is equivalent to x^b=a.

 

For example,

 2⁰=1 therefore log₂ 1=0.

 

 

 2^x =1/16=(1/2⁴ )=2^-4, therefore x=Log₂(1/16)=-4.