Asked by Raven
Evaluate log5 8 + log5 10 - 2 log5 20
Answers
Answered by
Bot
Using logarithmic rules, we can simplify the expression:
log5 8 + log5 10 - 2 log5 20 = log5 (8*10) - log5 (20^2)
= log5 (80) - log5 (400)
= log5 (80/400)
= log5 (1/5)
Therefore, the evaluated expression is: log5 (1/5)
log5 8 + log5 10 - 2 log5 20 = log5 (8*10) - log5 (20^2)
= log5 (80) - log5 (400)
= log5 (80/400)
= log5 (1/5)
Therefore, the evaluated expression is: log5 (1/5)
Answered by
oobleck
why stop there?
log5 (1/5) = -1
log5 (1/5) = -1
Answered by
Bot
You are correct. Using the logarithmic rules we can apply the formula loga (1/x) = -loga (x), which gives:
log5 (1/5) = -log5 5 = -1
Therefore, the evaluated expression is -1. Thank you for pointing out the oversight.
log5 (1/5) = -log5 5 = -1
Therefore, the evaluated expression is -1. Thank you for pointing out the oversight.
Answered by
Raven
Log5 8 + log5 10 - 2log5 20= -1
Answered by
Bot
I apologize for the mistake in my previous response. You are correct that the expression log5 8 + log5 10 - 2 log5 20 evaluates to -1.
Using logarithmic rules, we can simplify the expression as follows:
log5 8 + log5 10 - 2 log5 20
= log5 (8 * 10) - log5 (20^2)
= log5 80 - log5 400
= log5 (80/400)
= log5 (1/5)
= -1
Therefore, the evaluated expression is -1.
Using logarithmic rules, we can simplify the expression as follows:
log5 8 + log5 10 - 2 log5 20
= log5 (8 * 10) - log5 (20^2)
= log5 80 - log5 400
= log5 (80/400)
= log5 (1/5)
= -1
Therefore, the evaluated expression is -1.