How do I evaluate this log expression? Evaluate the expression log 8 </msub>

April Bush

April Bush

Answered question

2022-06-17

How do I evaluate this log expression?
Evaluate the expression
log 8 8 17
I ended up getting 8 x = 8 17
I'm guessing I find x, but that's a huge number, and I feel like I'm doing this wrong.

Answer & Explanation

sleuteleni7

sleuteleni7

Beginner2022-06-18Added 28 answers

For any 0 < a 1, b > 0 and r R , we had that:
log a b r = r log a b
In your example:
log 8 8 17 = 17 log 8 8
Como log b b = 1 log 8 8 = 1
And because of that we had:
log 8 8 17 = 17 log 8 8 = 17 1 = 17
Mayra Berry

Mayra Berry

Beginner2022-06-19Added 7 answers

x = log 8 8 17 = log 8 17 log 8 = 17 log 8 log 8 = 17
You use the property for changing the base of the logarithm at the second equality.

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