Question

Find the value of x in the following:

`log_x  1/343 = -3`

Answer 1

To solve `log_x  1/343 = -3`, convert it to exponential form:

`x^-3 = 1/343`

Now rewrite the left-hand side:

`1/x^3 = 1/343`

Now equate the denominators:

`x^3 = 343`

⇒ `x = root(3)(343)`

Since 343 = 7³, we get:

x = 7