Question

Find consecutive integers that are under and over estimates of the solutions to the following exponential equations.

Answer 1

Answer:

5 and 6

Step-by-step explanation:

We have to first solve the given equation $10^{x} =432901$

Now, taking log in the both sides we get,

$log10^{x} = log 432901$

⇒ 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)