Open Middle®
Directions: Using the integers 1 to 9, at most one time each, place an integer in each box to create a log that satisfies the follow constraints.
Hint
What mathematical equation can be produced from a logarithm?
How does that relate to the size of a logarithm?
How can you rewrite the log of a product, quotient, or power?
How does that relate to the size of a logarithm?
How can you rewrite the log of a product, quotient, or power?
Answer
There are many possible solutions. One example would be:
Source: Bryan Anderson
Logs 2
What a great bellringer when we get to the log unit.
i found 2016 solutions (some are just changing places of numbers like 9*1 and 1*9)
few of the solutions:
log2(1 * 4)
log5(6 / 7)
log3(9^8)
log6(2 * 3)
log4(8 / 7)
log5(1^9)
log6(3 * 2)
log4(9 / 5)
log8(1^7)
log8(2 * 4)
log9(5 / 7)
log3(1^6)
log8(4 * 2)
log9(7 / 6)
log5(1^3)
i found 2016 solutions (some are just changing places of numbers like 9*1 and 1*9)
few of the solutions:
log2(1 * 4)
log5(6 / 7)
log3(9^8)
log6(2 * 3)
log4(8 / 7)
log5(1^9)
log6(3 * 2)
log4(9 / 5)
log8(1^7)
log8(2 * 4)
log9(5 / 7)
log3(1^6)
log8(4 * 2)
log9(7 / 6)
log5(1^3)
i found 2016 solutions (some are just changing places of numbers like 9*1 and 1*9)
few of the solutions:
log2(1 * 4)
log5(6 / 7)
log3(9^8)
log6(2 * 3)
log4(8 / 7)
log5(1^9)
log8(2 * 4)
log9(5 / 7)
log3(1^6)
i found 2016 solutions (some are just changing places of numbers like 9*1 and 1*9)