SOLUTION: write 32=2^5 in logarithmic form and evaluate log3 81 without a calculator

Question 392319: write 32=2^5 in logarithmic form and evaluate log3 81 without a calculator
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
In general (a logarithmic equation) is equivalent to (an exponential equation. Using this pattern on
(an exponential equation)
we can write the following logarithmic equation:

Logarithms can be found without a calculator if the argument is a known power of the base of the logarithm. So we want to see if 81 is a power of 3. Multiplying 3's to together we get:
3*3 = 9
3*3*3 = 27
3*3*3*3 = 81
So 81 is . Since represents the exponent for 3 that results in 81 we now know that the answer is 4!
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