Evaluate log base 3 of 243

Problem

(log_3)(243)

Solution

1. Identify the base and the argument of the logarithm. The base is 3 and the argument is 243

2. Rewrite the argument as a power of the base. We look for an exponent x such that 3=243

3. Calculate the powers of 3

3=3

3=9

3=27

3=81

3=243

4. Substitute the power back into the logarithmic expression:

(log_3)(3)

5. Apply the logarithm property (log_b)(bx)=x to simplify the expression.

(log_3)(3)=5

Final Answer

(log_3)(243)=5

Want more problems? Check here!