zellelta34
zellelta34 zellelta34
  • 17-10-2021
  • Mathematics
contestada

Use the natural logarithm to solve the given equation. Round to the nearest ten-thousandth.
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Use the natural logarithm to solve the given equation Round to the nearest tenthousandth class=

Respuesta :

erahim1982
erahim1982 erahim1982
  • 17-10-2021

Answer:

-0.8340

Step-by-step explanation:

After changing the exponential function to logarithm plot the log equation into the calculator to find the answer

3^x = 0.4 is changed to log_3 (0.4)

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towl35
towl35 towl35
  • 17-10-2021

Answer:

[tex]x \: \: \: is \: approx \: \: \: - 0.8340[/tex]

Step-by-step explanation:

[tex] {3}^{x} = .4 \\ .4 = \frac{4}{10} = \frac{2}{5} [/tex]

[tex] {3}^{x} = \frac{2}{5 } \\ ln( {3}^{x} ) = ln( \frac{2}{5} ) \\ x ln(3) = ln( \frac{2}{5} ) \\ x = \frac{ ln( \frac{2}{5} ) }{ ln(3) } = - 0.8340[/tex]

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