Evaluate log5 8 + log5 10 - 2 log5 20

Answer 1

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)

Answer 2

why stop there?
log5 (1/5) = -1

Answer 3

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.

Answer 4

Log5 8 + log5 10 - 2log5 20= -1

Answer 5

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.