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



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