Sign In
Ask Question
Mathematics
Cabrera
13 November, 13:27
If a=b^x, b=c^y and c = a^z prove that xyz
=1
+1
Answers (
1
)
Kristian Preston
13 November, 16:52
0
If ax=b and by=c, substituting you get that axy=c. Now, if cz=a, substituting again, axyz=a, from where it follows that xyz=1.
or
c = {b^y} = [ (a^x) ^y] = {a^ (xy) }
a = [c^z] = [{a^ (xy) }^z] = [a^ (xyz) ]
(a^1) = [a^ (xyz) ]
Therefore, (xyz) = 1.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“If a=b^x, b=c^y and c = a^z prove that xyz =1 ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
sam is cooking cookies the recipe calls for 3 4/5 cuos of flour. she accidentally puts in 5 1/4 cups how many extra cups did she put in
Answers (1)
What is the value of 8C5? A. 56 B. 6720 C. 960 D. 40
Answers (1)
The arrows on spinner is to be spun once
Answers (1)
A box contains five cards, numbered 1, 2, 3, 4, and 5. Three cards are selected randomly without replacement from the box. What is the probability that 4 is the largest value selected?
Answers (2)
Prove the following statement. The square of any odd integer has the form 8m+1 for some integer m.
Answers (1)
New Questions in Mathematics
Why is the difference of 2 odd numbers always even?
Answers (1)
3^x+1=5^x-4 what is x?
Answers (2)
My brother is 6 ft tall. How tall is he in centimeters? [1 inch = 2.54 cm]
Answers (2)
A store pays two fees when a customer uses a credit card to make a purchase. These fees include • A flat fee of $0.25 and • A processing fee equal to 2.75% of the dollar amount of the purchase There is no sales tax on the purchase.
Answers (1)
Nancy is making lemonade for her birthday party. She made 6 batches. Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water.
Answers (1)
Home
»
Mathematics
» If a=b^x, b=c^y and c = a^z prove that xyz =1
Sign In
Sign Up
Forgot Password?