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

Which of the following is a retailer owned brick-and-mortar or online store where excess merchandise or special buys from vendors, not offered in the regular re
Determine whether f(x) and g(x) are inverses of each other. f(x) = (3/2)x + 8, g(x) = (2/3)x - 8? 1) True 2) False
How many nitrogen atoms are present in one mole of dinitrogen pentoxide? N2O5
How does the first stanza of turn turn my wheel contribute to get development of its theme
simplify the fraction 18/7
You are the project manager for the traffic project at the Casho Mill Road tunnel. Over the years, this single-lane tunnel has been the site of numerous stuck v
Surface area of 7 Ft ,10.5 ft ,1.9 ft ,17.4 ft and 14 ft
If cos A = ½, with A in Quadrant IV, find: sin A/2 sec A/2
Which sentence best states the conflict revealed in this passage from Helen Keller's The Story of My Life? Have you ever been at sea in a dense fog, when it see
Selecting an suv or a truck that is red or black with cloth interior.