Question

Log x^2 -5 base 2 =2

Answer 1

Question:-

➡ Solve the given equation and find the value of x.

Answer:-

➡ The value of x is ±3.

Solution:-

Given that,

$\sf log_{2}( {x}^{2} - 5 ) = 2$

$\sf \implies {x}^{2} - 5 = {2}^{2}$

$\sf \implies {x}^{2} - 5 =4$

$\sf \implies {x}^{2}=4 + 5$

$\sf \implies {x}^{2}=9$

$\sf \implies x = \sqrt{9}$

$\sf \implies x = \pm 3$

Hence, the value of x is ±3.

Note:-

➡ If $\sf \log_{a}{b}=n$ then $\sf a^{n}=b$

Answer 2

Answer:

hey watch the above pic for ur solution.