Question

Solve for x: 2eˣ - 7 = 21

Answer 1

2eˣ - 7 = 21

2eˣ = 28

eˣ = 14 How do we isolate for x now? Well we know that aˣ=b can be converted to
`x=log_(a)(b)`.

x =
`log_(e)(14)` A shorthand for "log base e" is the natural log (ln).

x = ln(14)

x = 2.64 approx.

Exact answer: ln(14)

Approximation: 2.64