Question

solve for x ..................​

Answer 1

Answer:

x = +3 and -3

Step-by-step explanation:

log(x+2) + log(x-2) = log5

log(x^2 - 4)= log5

(x^2 - 4)= e^log5

x^2 -4 = 5

(x - 2)*(x +2) =5

x^2 - 4 = 5

x^2 = 9

so

x= +3 and -3

Answer 2

$\huge \red{\mathfrak{solution}}$

To find the value of x:

$\rightarrow \: log(x - 2) + log(x + 2) = log(5) \\ \\ \rightarrow \: log((x - 2)(x + 2)) = log(5) \\ \\ \rightarrow log(( {x}^{2} - {2}^{2} )) = log(5) \\ \\ \rightarrow \: x {}^{2} - 4 = 5 \\ \\ \rightarrow \: {x}^{2} = 5 + 4 = 9 \\ \\ \rightarrow \: x = \sqrt{9} \\ \\ \rightarrow \: x \: = 3$

◆Formula used :

◆log m + log n = log mn