tylerkrobinson1572 tylerkrobinson1572
  • 21-10-2019
  • Mathematics
contestada

Find consecutive integers that are under and over estimates of the solutions to the following exponential equations.
10^x = 432,901

Respuesta :

rani01654 rani01654
  • 26-10-2019

Answer:

5 and 6

Step-by-step explanation:

We have to first solve the given equation [tex]10^{x} =432901[/tex]

Now, taking log in the both sides we get,

[tex]log10^{x} = log 432901[/tex]

⇒ x log 10=log 432901 {Since we have the logarithm property, log aᵇ =b log a}

⇒ x =log 432901 {Since log 10=1}

⇒ x=5.636.

Therefore, the consecutive integers that are under and over the value of x are 5 and 6. (Answer)

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