SOLUTION: Why is log[base9]x equivalent to log[base27]x/log[base27]9? How would you prove it algebraically?
Thank you!
Algebra.Com
Question 861718: Why is log[base9]x equivalent to log[base27]x/log[base27]9? How would you prove it algebraically?
Thank you!
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
What happens if the Change Of Base Formula is used for the left member? Its derivation (Change Of Base) is a separate but important process.
Following the change of base formula to gives . What you are then wanting to know is, how to derive the Change Of Base Formula?
You may look at and hopefully understand the proof found in http://en.wikipedia.org/wiki/Logarithmic_identities#Changing_the_base. Look at the sections, "changing the base", and "proof".
RELATED QUESTIONS
Evaluate the logarithmic expressions please explain:
{{{log((base14))^((14))^((11))}}}
(answered by ewatrrr)
Simplify 9log(base27)(x) - 4log(base9)(x)
I didn't know how to type in a base for the... (answered by josmiceli)
How do i find the nth term for these sequences?
a) log [base 3], log [base 9] 81, log... (answered by Earlsdon)
2/3 log... (answered by lwsshak3)
Please help me. How to prove that log b x- log b y = log b (x/y). (* "b" should be... (answered by math_helper)
What is 12log[base64]X-6log[base16]X equivalent to? (The answer should be log[base4]X)
(answered by ewatrrr)
log[4](x-8)=log[4](x-8)=1
I need to solve the equation algebraically
Thank... (answered by stanbon,ewatrrr)
how do you solve log(x+3)+log5=log 20... (answered by erica65404)
How do you algebraically find the solution to the following problem?
log(79-3x) +... (answered by ankor@dixie-net.com,solver91311)