Posted by Adam on Wednesday, March 20, 2013 at 10:22pm.
Is log_3 (5) equal to log_5 (3)? Explain your answer. Do not evaluate the logarithms.
is my question. What is a surefire way to show this is false.
- math - Reiny, Wednesday, March 20, 2013 at 10:53pm
let x = log (base3) 5
then 3^x = 5 , clearly x > 1 ,
because 3^1 = 3 and 3^2 = 25 ,so x must be between 1 and 2
let y = log(base5)^3
then 5^y = 3 , clearly y < 1,
because 5^0 = 1 and 5^1 = 5
so y has to be between 0 and 1
so x ≠ y
and the two log expressions cannot be equal
- math - Adam, Wednesday, March 20, 2013 at 11:22pm
fantastic, makes so much sense now, thx
- math - Adam, Wednesday, March 20, 2013 at 11:25pm
and btw 3^2 = 25 is typo
Answer this Question
More Related Questions
- math - Is log_3 (5) equal to log_5 (3)? Explain your answer. Do not evaluate the...
- Math - Logarithmic - log_5[log_4(log_3(x))] = 1 log_5 = log with the base of 5 ...
- ICA Honors - 1/log_2(X) + 1/log_3(x) + 1/log_4(x) +1/log_5(x) =log_5(625)
- Math - Logarithmic - Solve: 2log_3(x) - log_3(x-2) = 2 My Work: log_3(x^2) - ...
- precalculus - solve logarithmic equation in exact form only. show work. log_5(x-...
- Trigonometry (Logarithmic Function) - If log_5(9) = 1.365 and log_5(2)=0.431, ...
- Math - logs - log_3(2x - 1) = 2, Find x. Here's what I've done: log_3(2x) * ...
- algebra - Need some one check my homework. Evaluate 3p/q when p=2 and q=6. ...
- math - find derivative of f(x)= log_5((x-4)^3) + e^((x-1)(x+1)) Log_5 means log ...
- Math: Homework Questons (answer quick) - Can you check if the answer is correct...