Question

Find X if log base 5 × log base 2 × log base 3 × log base 4 × X = 0.

Please kindly give the correct answer. ​

Answer 1

Step-by-step explanation:

From CAT 2017 – Quantitative Aptitude – Algebra – Logarithms, we can see that,

Log(base 3)5 lies between 1 and 2 because Log(base 3)3 = 1 and Log(base 3)9 = 2

1 < Log(base 3)5 < 2

So, log(base 5)(2+x) should also lie between 1 and 2

1 < log(base 5)(2+x) < 2

5^1 < 2+x < 5^2

5 < 2+x < 25

3 < x < 23