Simplify :
log (a)3 - log a
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Simplifying the expression,
⇒ log (a)3 - log a
⇒ 3log a - log a
⇒ 2log a
⇒ log a2
⇒ 2 log a.
Hence, log (a)3 - log a = 2 log a.
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If log5 x = y, find 52y + 3 in terms of x.
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.
log (a)3 ÷ log a
If log (a + b) = log a + log b, find a in terms of b.