10 8 9 log a b 8 y x 3 Shift the graph of the function to the 7 3 x 5 6 x 5 25 4 x 3 x 3 Top Ten Mistakes When in doubt 2 x 25 X 1 x 3 AND x 3 units Additional comments about the mistake from Mrs Kiriazes Think of 8 as 1 8 1 64 64 Remember to simplify using the Order of Operations 1 Grouping 2 Exponents 3 Multiplication and Division Left to Right 4 Addition and Subtraction Left to Right Product Property of Logarithms log ab loga logb This is the transformation mistake that I ve tried to warn you about all semester Be sure to shift left when you add inside the input AND shift right when you subtract inside the input When you divide or multiply both sides of an inequality by a negative number STOP and SWAP the direction of the inequality 3x 15 x 5 If you remember this rule you won t make mistakes with the exponent rules x x x x x x x x x x x x r When you see a fractional exponent think Radical The bottom of the fraction is the Root of the radical Just like the bottom of a tree is its roots 253 25 5 If you get confused put a front of the parentheses to remind you to distribute the negative to all of the terms in the parentheses x 1 3 x x 3 x x 3 x 3 You can only cancel factors not terms Factors can be cancelled because anything anything 1 Factors are all multiplied Terms are added or subtracted CAN T be simplified any further x c x e It s the same refrain When in doubt write it out x 3 x 3 x 3 x 6x 9