Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Simplify each expression and match it with the equivalent value.

Answer 1

log base 6 of the cube root of 6 matches with 1/3

-3 log 5 of 25 matches with -6

log base 2 of the 4th root of 8 matches with 3/4

log base 3 of 1/81 matches with -4

Answer 2

Explanation:

Let's simplify all the possible answers:

• 
  `log_(6) \sqrt[3]{6}` =
  `log_(6) (6(1)/(3) ) = (1)/(3)`
• 
  `log_(3) (1)/(81) = log_(3) (3^(-4) )` = -4
• 
  `-3log_(5) 25 \\` =
  `-3log_(5) (5^(2) )` = -3*2 = -6
• 
  `log_(2) \sqrt[4]{8}` =
  `log_(2) \(2^{(3)/(4) }` =
  `(3)/(4)`

Hope it will find you well.