SOLUTION: What is the value of a if 7^a-7^a-5= 117642√7?
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Question 1148139: What is the value of a if 7^a-7^a-5= 117642√7?
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Please think about when parentheses are needed when you type algebraic expressions.
Clearly you mean 7^a-7^(a-5), which is , instead of 7^a-7^a-5, which is , which is just -5.
On the left, factor out a common factor of 7^(a-5):
On the right, using the prime factorization of 117642 or any other method, determine that
Then we have
from which we can obtain
So
ANSWER: a = 6.5, or 13/2
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