isabellasimmons277 isabellasimmons277
  • 19-06-2021
  • Mathematics
contestada

The solution of the equation3^×=2 is

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 19-06-2021

Answer:

x = log 2 / log 3

x=0.63092

Step-by-step explanation:

3^×=2

Take the log of each side

log 3^×= log2

We know that log a^b = b log a

x log 3 = log 2

Divide each side by log 3

x = log 2 / log 3

x=0.63092

Answer Link
Аноним Аноним
  • 20-06-2021

Answer:

x ≈ 0.63093

Step-by-step explanation:

[tex] \small \sf \: 3 {}^{x} = 2[/tex]

Take the log of both side

[tex] \small \sf \: log 3 {}^{x} = log 2[/tex]

Use log a( a ^ x ) = x to simplify the equation

x log 3 = log 2

Divide each side by log 3

x = log 2 / log 3

x ≈ 0.63093

Answer Link

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