solve the exponential equation. Express the solution set so that (a) solution are in exact form,

Question

1. solve the exponential equation. Express the solution set so that (a) solution are in exact form, and if irrational (b) solutions are approximated to the nearest thousandth. support your solution by using a calculator. (1/3)^x=-5

 

2. The pressure exacted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 90 feet is 630 pounds per square inch. what the pressure at 20 feet.

 

3. Simplify square root -14 multiply by square root of -2 divide square root of 7   

Answer 1

1) is there a typo ? no power can turn a positive number (1/3) into a negative number (-5)

    no solution in the set of real numbers

 

2)  p=kd

     630=k*90

     630/90=k

     k=7

     p=7*20

     p=140 pounds per square inch

 

3)  (√-14)*(√-2)/√7

     (√-1√14)(√-1√2)/√7

     (-1)(√28)/√7

     (-1)(2√7)/√7

     (-1)(2)

      -2