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!

Answer Link

Otras preguntas

_______ is responsible for the wings on bats, birds, and pterodactyls.
Cuales son los aspectos de la cultura griega
What view of the English civil war set the stage for the enlightenment
Can someone please help me with geometry?????
a change in the force of gravity on an object will affect its what
Not everyone was delighted by the art and ideas of the renaissance. Some people merely resisted the new ideas; others were outraged by them. Describe on if the
A restaurant changes $2.50 for one eighth of a pizza. At this rate, how much does the restaurant receivenfor the whole pizza?
Who signed the declaration of independence and what day was it signed and how many people attended from the colonies?
Lori bought a shirt and a hat at a half off sale. If she spent a total of $21 on the two items, what was the original price of the hat ?
What is 6 7/16 - 4 1/2 ?