Given: log3 m=x and log3 n=y. (i) Express 32x−3 in terms of m. (ii)

1.	Given: log3 m=x and log3 n=y. (i) Express 32x−3 in terms of m. (ii) Write down 31−2y+3x in terms of m and n. (iii) If 2 log3 A=5x−3y; find A in terms of m and n.
Answer» Given: $l o g_{3} m = x$ and $l o g_{3} n = y$ . (i) Express $3^{2 x - 3}$ in terms of m. (ii) Write down $3^{1 - 2 y + 3 x}$ in terms of m and n. (iii) If $2 l o g_{3} A = 5 x - 3 y$ ; find A in terms of m and n.

Given: log3 m=x and log3 n=y. (i) Express 32x−3 in terms of m. (ii) Write down 31−2y+3x in terms of m and n. (iii) If 2 log3 A=5x−3y; find A in terms of m and n.

Answer»

Given: $l o g_{3} m = x$ and $l o g_{3} n = y$ .

(i) Express $3^{2 x - 3}$ in terms of m.

(ii) Write down $3^{1 - 2 y + 3 x}$ in terms of m and n.

(iii) If $2 l o g_{3} A = 5 x - 3 y$ ; find A in terms of m and n.