Question

Find the value of x when 3 power 2 X + 1 equals to root 3

Answer 1

✏ Answer :

$3 {}^{2x + 1} = \sqrt{3} \\ 3 {}^{2x + 1} = 3 {}^{ \frac{1}{2} }$

comparing on both sides

$2x + 1 = \frac{1}{2} \\ 2(2x + 1) = 1 \\ 4x + 4 = 1 \\ 4x = 1 - 4 \\ 4x = - 3 \\ x = \frac{ - 3}{4}$

Answer 2

3^2x+1=√3

3^2(2x+1)=3

1^4x+2=3/3

4x+2

x=4+2

x=6