stuart40 stuart40
  • 25-11-2021
  • Mathematics
contestada

Hello how do you solve 5^-x = 6?

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 25-11-2021

Answer:

x = -log 6/log 5

Step-by-step explanation:

When the variable is in te exponent, logarithms help solve the equation very often.

5^-x = 6

Take the log of both sides.

log (5^-x) = log 6

Use the law of log of a power.

-x log 5 = log 6

-x = log 6/log 5

x = -log 6/log 5

Answer Link

Otras preguntas

The following test have all been ordered at the same time on different inpatients. There is only one phlebotomist on duty. Which one would the phlebotomist col
The graph shows the area of forest cover in various regions of the world. Through afforestation, forest habitats have been established in areas that previously
I need help here pls 10 points
Any tree can breed with any other tree, so they are all of the same species. True or false? e
Write the area of the circle with center (5, −4) and radius 3.
An office building has 123 floors. The floors are 3.8m apart.A lift goes from floor 32 to the top. How far does it travel?​
What is the value of 4|B| – |D|?
What’s the answer?!!!!!!!
Why vitamin A(retinol) transported by chylomicrons ?
A farmer often sprays a certain kind of insecticide, a chemical that kills insects, on his plants to prevent locust bugs from eating all of his corn crops. One