Question

logx 243=-5 solve for x

Answer 1

check the solution to this question. hope it helps.

Answer 2

$x=\dfrac{1}{3}$

Step-by-step explanation:

We have,

$\log _x 243=-5$

To find, the value of x = ?

∴ $\log _x 243=-5$

⇒ $\log _x 3^{5} =-5$

⇒ $5\log _x 3=-5$

We know that,

$\log a^{m} =m\log a$

⇒ $\log _x 3=-\dfrac{5}{5}$

⇒ $\log _x 3=-1$

⇒  $x^{-1}=3$

⇒ $\dfrac{1}{x} =3$

⇒ $x=\dfrac{1}{3}$

∴ $x=\dfrac{1}{3}$

Hence, $x=\dfrac{1}{3}$