COMEDK · Maths · 1. Basic of Mathematics
If \(\log _{4} 2+\log _{4} 4+\log _{4} 16+\log _{4} x=6\), then \(x=\)
- A 32
- B 8
- C 4
- D 64
Answer & Solution
Correct Answer
(A) 32
Step-by-step Solution
Detailed explanation
We have, \(\log _{4} 2+\log _{4} 4+\log _{4} 16+\log _{4} x=6\) \(\log _{4}(2 \times 4 \times x \times 16)=6\) \(\log _{4}(128 x)=6\) \(\Rightarrow \quad 128 x=4^{6}\) \(\Rightarrow \quad 128 x=64 \times 4^{3}\) \(\Rightarrow \quad 2 x=4^{3}\)…
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