gianaalwell2 gianaalwell2
  • 10-05-2021
  • Mathematics
contestada

4*10^(-3x)=18 express the solution in the base of 10

Respuesta :

triparnadewanjee07
triparnadewanjee07 triparnadewanjee07
  • 10-05-2021

Answer: x = −0.21773750

Step-by-step explanation:

Put it in calculator

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reeserl reeserl
  • 10-05-2021

Answer:

x = -.217738

Step-by-step explanation:

[tex]4*10^{-3x} = 18[/tex]

[tex]10^{-3x} = \frac{18}{4} = \frac{9}{2}[/tex]

[tex]-3x = log(\frac{9}{2})[/tex] = log 9 - log 2

x = [tex]\frac{log 9 - log 2}{-3} = \frac{.95424... - .30102...}{-3} = \frac{.65321...}{-3} = -.217738[/tex]

Answer Link

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