Question

Log(1+x)2+Log(x+3)2=3 then x=?

Answer 1

Answer:

. Find the logarithms of:

(i) 1728 to the base 2√3

Solution:

Let x denote the required logarithm.

Therefore, log2√3 1728 = x

or, (2√3)x = 1728 = 26 ∙ 33 = 26 ∙ (√3)6

or, (2√3)x = (2√3)6

Therefore, x = 6.