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