Puzzles/Arithmetical puzzles/Logarithms Puzzle

Puzzles | Arithmetical puzzles | Logarithms Puzzle

Task is using any arithmetical operators, and school functions, such as logarithms, trigonometrical functions, square roots, and set of digits, get a specific digit.

Example
$${1111111 \over 10000}$$

That means using "1" seven times write 10000, and the solution is:

$$\,10000={(111-11)}^{1+1}$$

Logarithms Puzzle 1
$${777 \over 121}$$

Logarithms Puzzle 1 Solution

Logarithms Puzzle 2
$${11 \over 32}$$

Logarithms Puzzle 2 Solution

Logarithms Puzzle 3
$${111 \over 10001}$$

Since it may be difficult to solve, try solving these first:

$${11111 \over 10001}$$

$${1111 \over 10001}$$

Logarithms Puzzle 3 Solution