Question

Evaluate \(\log_x2 =4\)
1. 2^1/4
2. 2^1/2
3. 2^1/6
4. 2^1/3
5. None of these

Answer 1

Correct Answer - Option 1 : 2^1/4

Concept:

Logarithm properties

• \({\rm{If\;y}} = {\log _{\rm{a}}}{\rm{x\;then\;x}} = {\rm{\;}}{{\rm{a}}^{\rm{y}}}\)

Calculation:

Given: \(\log_x2 =4\)

Taking antilog, we get

2 = x4                     

⇒ x⁴ = 2

∴ x = 2^(1/4)