locgirl locgirl
  • 02-12-2018
  • Mathematics
contestada

What is the approximate solution to the equation 3^t=29 ? a) 0.3263 b)3.0650 c) 3.3672 d) 9.6667

Respuesta :

jimrgrant1 jimrgrant1
  • 02-12-2018

Answer:

b

Step-by-step explanation:

using the law of logarithms

• log [tex]x^{n}[/tex] = nlogx

given [tex]3^{t}[/tex] = 29 ( take log of both sides, that is base 10 )

log [tex]3^{t}[/tex] = log 29, hence

tlog 3 = log29 (divide both sides by log 3 )

t = [tex]\frac{log29}{log3}[/tex] ≈ 3.0650 → b



Answer Link

Otras preguntas

Can u paraphrase the quote ”let things take their course”
Trying to translate word problems. Five times the sum of 3 and twice some number is 70. what is the number?
Trying to translate word problems. Five times the sum of 3 and twice some number is 70. what is the number?
What are two different ways to describe and label the layers of the Earth?
Why is RNA necessary to act as messenger?
two identical freight cars roll without friction towards each other on a level track. one car rolls 2 m/s the other 1 m/s. after the cars collide they couple an
A passenger on a boat moving at 1.70 m/s on a still lake walks up a flight of stairs at a speed of 0.60 m/s , as shown in the figure . The stairs are angled at
What is two thirds minus six thirds
.is a pot holder a conductor or a insulator
What is Sir Francis Drake hardships