Question

Find the value of $x$ which satisfies the equation: ${\log }_2(x^2-3)=5$

• A. $3.61$
• B. $4.70$
• C. $5.29$
• D. $5.75$
• E. $5.92$

Answer 1

The correct option is E $5.92$

• ${\log }_2(x^2-3)=5$
• $x^2-3=2^5=32$ , which implies $x^2=35$
• $x=\sqrt{35}=5.92$