Question

Use the change of base formula to evaluate log3(10)

Answer 1

1/log (3) ≈ 2.095903274

Explanation:

To change base to base c loga(b) = logc (b)

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logc ( a)

We have base 10 in our calculators so we will switch to base 10. The 10 is implied when we just write log

log3(10) = log 10

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log 3

log 10 =1

so

log3(10) = 1

-----------

log 3

= 2.095903274