How do you evaluate log_[6](144) - log_[6](4)?

1 Answer
Bio
Apr 4, 2016

log_6(144) - log_6(4) = 2

Explanation:

Use the identity

log_x(a) - log_x(b) = log_x(a/b)

Thus,

log_6(144) - log_6(4) = log_6(144/4)

= log_6(36)

= log_6(6^2)

= 2

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