lovelysoul9333 lovelysoul9333
  • 22-10-2019
  • Mathematics
contestada

Solve each exponential equation.
6^x+2 = 12

Respuesta :

mauricioalessandrell
mauricioalessandrell mauricioalessandrell
  • 22-10-2019

Answer:

The solution is x = 1/log(6)

Step-by-step explanation:

Hi there!

First, let´s write the equation:

6ˣ + 2 = 12

subtract 2 at both sides of the equation

6ˣ = 10

apply log at both sides of the equation

log(6ˣ) = log(10)       log(10) = 1

Apply logarithm property: log(xᵃ) = a log(x)

x log(6) = 1

Divide both sides by log(6)

x = 1/log(6)

The solution is x = 1/log(6)

Have a nice day!

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