emileewhoosh
emileewhoosh emileewhoosh
  • 12-05-2020
  • Mathematics
contestada

Solve for x: 2eˣ - 7 = 21

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nonsibi
nonsibi nonsibi
  • 12-05-2020

2eˣ - 7 = 21

2eˣ = 28

eˣ = 14 How do we isolate for x now? Well we know that aˣ=b can be converted to [tex]x=log_{a}(b)[/tex].

x = [tex]log_{e}(14)[/tex]   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

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