given that 3^-x=5, find the value of 3^3x

Question

given that 3^-x=5, find the value of 3^3x....need some help solving this thanks

Answer 1

Hi James,

 

3^-x = 5

 

1/3^x = 5

 

1 = 5 * 3^x

 

or

 

3^x = 1/5

 

now cube both sides

 

3^3x = (1/5)³

 

3^3x = (1/125)

 

Hope this helps