Surds & Indices Actual Question in NCAT 2023

1. Solve for x, if 𝑃[π‘₯Γ·(π‘₯βˆ’12)] = π‘ƒπ‘˜ and 13π‘˜/5= 5
a. – 25
b. k > 3
c. 5
d. 25

EXPLANATION

If, 13k/5 = 5

13k = 25

k = 25/13

as, p^[x/(x-12)] = p^k

β€’ x/x-12= k

x/x-12 =25/13

13x = 25x – 300

25x – 13x = 300

12x = 300

x = 300/12

= 25

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