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# Complete the steps to evaluate the following expression, given log_{3}a = -0.631, log_{3} a/3 log_{3} 3 =

**Solution:**

It is given that

log_{3}a = -0.631

By using the logarithmic rule:

log_{b} (M/N) = log_{b} (M) - log_{b} (N)

We have to find

log_{3} (a/3) = log_{3} (a) - log_{3} (3)

log_{3} (a/3) = -0.631 - log_{3} (3)

By using the logarithmic rule log_{b} b = 1

log_{3} (a/3) = -0.631 - 1

log_{3} (a/3) = -1.631

Therefore, log_{3} (a/3) = -1.631

## Complete the steps to evaluate the following expression, given log_{3}a = -0.631, log_{3} a/3 log_{3} 3 =

**Summary:**

The steps used to evaluate the expression given log_{3}a = -0.631, log_{3} a/3 log_{3} 3 = -1.631

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