Question

Use the Change of Base Formula to evaluate log5 92. Then convert log5 92 to a logarithm in base 3. Round to the nearest thousandth.

1.964; log3 55.2

4.522; log3 21.903

2.810; log3 21.903

2.810; log3 55.2

Answer 1

Answer: 2.810; log3 21.903

OR

2.810; log3 55.2

So, log5 of 92 is between 2.5 and 3 Correct answer is A

v

To find : Use the Change of Base Formula to evaluate .

Then convert to a logarithm in base 3.

Solution :

Change of Base Formula,

Applying this,

Now, converting to a logarithm in base 3

Therefore, The solution is