SOLUTION: What is the smallest integer value of k such that (1/2)to the power of k

SOLUTION: What is the smallest integer value of k such that (1/2)to the power of k < 0.001?

Question 694775: What is the smallest integer value of k such that (1/2)to the power of k < 0.001?
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the smallest integer value of k
such that (1/2)to the power of k < 0.001?
----
Solve (1/2)^k < 0.001
---
Take the log of both sides:
k(log(1/2)) < log0.001
---
k < -3/log(1/2)
k < 9.9658
==============================
Ans: k = 9
===============
Cheers,
Stan H.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

What is the smallest integer value of k such that (1/2)to the power of k < 0.001?

9.965784 < k

k > 9.965784

Since k > 9.965784, then the smallest integer value of k, is

You can do the check!!

Send comments and �thank-yous� to �D� at MathMadEzy@aol.com
RELATED QUESTIONS
what is the smallest integer value of k that makes the solutions of 3x^2-7x+k=0... (answered by MathLover1)
Find the smallest integer value of k such that kx^2-2x+5=0 has imaginary roots. (answered by Fombitz)
find the smallest value of k such that 2x�*3�*5*k is a perfect square (answered by greenestamps)
If the product 2352k is a perfect fifth power, what is the smallest possible value of k,... (answered by fractalier)
If the product 2352k is a perfect fifth power, what is the smallest possible value of k,... (answered by Alan3354)
what is the smallest positive integer of k such that the equation sqrt(x - 127) + sqrt(k... (answered by Edwin McCravy)
Find the value of k such that z^2+4z+k is a perfect square.... (answered by Nate)
If K is a constant, what is the value of K such that the polynomial K^2X^3-6kx+9 is... (answered by ikleyn)
What is the value of k such that the graph of the equation will pass through (0,-5)... (answered by Alan3354)