solve the logarithmic equation symbolically

Question

log(3-x)=4.

Answer 1

The equation is log (3 -x ) = 4.

Apply exponential formula: log base e (x ) = a ⇔ x = e ^a.

3 - x = e ⁴

- x = e ⁴ - 3

x = 3 - e ⁴

Substitute the value e ⁴ = 54.59 .

x = 3 - 54.59

x = - 51.59 .

Solution of the equation is x = - 51.59 .