Question

find the value of the log log2^8

Answer 1

log2^8
is 2 base?
or is ln
or log 10

Answer 2

2 is base

Answer 3

3

Answer 4

3 is answer

Answer 5

can you show me how to do it and why its 3

Answer 6

It helps to know what the logarithm means.

The logarithm of a number, base b, is what exponent you raise the base to, to get the number. A logarithm is an exponent.

Using your example, \( \log_2 8\) means what exponent do you need to raise 2 to, to get 8? Remember that \(8 = 2^3\), so the question is what exponent do you need to raise 2 to to get \(2^3\)? The answer is 3.