what is log3(81)?

recall that 3^4 = 81

To find the value of log3(81), we need to understand what a logarithm is. A logarithm is the inverse operation of exponentiation. In other words, it tells you what exponent is needed to raise a base number to obtain a given result.

In this case, the base is 3, and the result is 81. In other words, we want to know what exponent we need to raise 3 to in order to get 81.

To find the value, we can write this in exponential form:
3^x = 81

Now, we need to figure out what number, when raised to the power of x, equals 81. By inspection, we can see that 3^4 = 81.

Therefore, the value of log3(81) is 4.