Complete the steps to evaluate the following expression, given log₃a = -0.631, log₃ a/3 log₃ 3 =

Solution:

It is given that

log₃a = -0.631

By using the logarithmic rule:

log_b (M/N) = log_b (M) - log_b (N)

We have to find

log₃ (a/3) = log₃ (a) - log₃ (3)

log₃ (a/3) = -0.631 - log₃ (3)

By using the logarithmic rule log_b b = 1

log₃ (a/3) = -0.631 - 1

log₃ (a/3) = -1.631

Therefore, log₃ (a/3) = -1.631

Complete the steps to evaluate the following expression, given log₃a = -0.631, log₃ a/3 log₃ 3 =

Summary:

The steps used to evaluate the expression given log₃a = -0.631, log₃ a/3 log₃ 3 = -1.631