Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
8 = (2) cubed.
So log(8) in any base = 3 log(2) in the same base.
But 2 is the square root of 4, so in the base of 4, log₄(2) = 1/2
log₄(8) = 3 log₄(2) = 3 x 1/2 = 1.5
So log(8) in any base = 3 log(2) in the same base.
But 2 is the square root of 4, so in the base of 4, log₄(2) = 1/2
log₄(8) = 3 log₄(2) = 3 x 1/2 = 1.5
using logarithm property,
log4(8) = log10(8) / log10(4)
= log10(2)^3 / log10(2)^2
= 3*log10(2) / 2*log10(2)
= 3/2
= 1.5
log4(8) = log10(8) / log10(4)
= log10(2)^3 / log10(2)^2
= 3*log10(2) / 2*log10(2)
= 3/2
= 1.5
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.