Exam Maths Puzzle Log and Antilog

log7^4x + log7^(x+1) = log7^64

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Exam Other Question

Q. Use the transformation T:(x,y) -> (x + 2,y -1) and
S: (x,y) -> (2x,y).

1. Find T: (-1,4).
2. Find S:(3,5).
3. What is the preimage of (4,-1) under T?
4. Which is an isometry?

A. T
B. S
C. both T and S
D neither T nor S
Q. One is x^2 = 2y, where the vertex equals (0,0).