(i) If log (a+1)=log (4a−3)−log 3; find a. (ii) If 2 log y−log x

1.	(i) If log (a+1)=log (4a−3)−log 3; find a. (ii) If 2 log y−log x−3=0, express x in terms of y. (iii) Prove that : log10 125=3(1−log10 2).
Answer» (i) If $l o g (a + 1) = l o g (4 a - 3) - l o g 3$ ; find a. (ii) If $2 l o g y - l o g x - 3 = 0$ , express x in terms of y. (iii) Prove that : $l o g_{10} 125 = 3 (1 - l o g_{10} 2)$ .

(i) If log (a+1)=log (4a−3)−log 3; find a. (ii) If 2 log y−log x−3=0, express x in terms of y. (iii) Prove that : log10 125=3(1−log10 2).

Answer»

(i) If $l o g (a + 1) = l o g (4 a - 3) - l o g 3$ ; find a.

(ii) If $2 l o g y - l o g x - 3 = 0$ , express x in terms of y.

(iii) Prove that : $l o g_{10} 125 = 3 (1 - l o g_{10} 2)$ .