SOLUTION: Helo, I want to know how to solve this question. Q. Evaluate log 512 to base 2 under root 2 {2^(1/2)} Can you please properly explain how to solve it?

Algebra.Com
Question 1011952: Helo, I want to know how to solve this question.
Q. Evaluate log 512 to base 2 under root 2 {2^(1/2)}
Can you please properly explain how to solve it?

Found 2 solutions by ikleyn, rothauserc:
Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
.
Helo, I want to know how to solve this question.
Q. Evaluate log 512 to base 2 under root 2 {2^(1/2)}
Can you please properly explain how to solve it?
------------------------------------------------------
 ?


512 is a special number: it is : 512 = .

Equivalently, 512 = , because 2 = .

Therefore,  = 18.



Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
if you mean this,
(2^(1/2)) / log base 2 of 512
note that log base 2 of 512 is n in the equation 2^n = 512, n = 9 then
2^(1/2) / 9 = 0.15713484 approx 0.16

RELATED QUESTIONS

Evaluate log 512 to the base 2√ 2... (answered by lwsshak3)
Describe how to obtain the third answer in each row from the first two questions? a)... (answered by Earlsdon)
Hi I need help with this question: Evaluate log to the base 2,(2x+1) - log to the base (answered by lwsshak3)
I dont know how to evaluate this problem because of the cube root. Someone please help... (answered by stanbon)
Please assist with the steps to solve this equation. I know the answer, but want to see... (answered by lwsshak3)
X^2-1=2^x please i want to know how to solve it THANK... (answered by MathTherapy)
Please check my answers Evaluate the expression: log(base 2) 72 - log(base 2) 9 (answered by Fombitz,ewatrrr,MathLover1,MathTherapy)
Hi, this is my second time asking a question....both were on logarithms :( Solve for... (answered by Alan3354,MathTherapy)
Hi I don't know how to solve the following : 1.e^(2lnx+lny) 2. ln square root... (answered by stanbon,jsmallt9)