cinelewis5115 cinelewis5115
  • 21-10-2019
  • Mathematics
contestada

Use the method from the Example to approximate the solution to the equations below to two decimal places.
5^x = 1,000

Respuesta :

jufsanabriasa
jufsanabriasa jufsanabriasa
  • 23-10-2019

Answer:

The approximate solution of the equation is 4,29.

Step-by-step explanation:

The solve of this fomula is:

5ˣ = 1000

You can use log in each side of the formula::

log₁₀ 5ˣ = log₁₀ 1000

By logarithm law (logₐ (mⁿ) = n logₐ m. And as log₁₀(1000) = 3:

x log₁₀ 5 = 3

x = 3 / log₁₀ 5

x ≈ 4,29

Thus, the approximate solution of the equation is 4,29.

I hope it helps!

Answer Link

Otras preguntas

What is the answer in this question ? Macy is painting a design that contains two repeating patterns.One pattern repeats every 8 inches.The other repeats every
1.09g/mL to lbs/gal Please show how to solve it too
Each liter of air has a mass of 1.80 grams. How many liters of air are contained in 2.5x10 to the third power kg of air?
What is a quicklist
Hot dog buns come in packages of 8. For the school picnic, Mr. Spencer bought 30 packages of hot dog buns. How many hot dog buns did he buy?
What is 10 times as many as 100
How do I solve -8=18m
what is 70 over 9 in simplest form
what goes into 80 and 11
The gcf of any two even numbers is always even true or false