SOLUTION: What is the Evalution of Logarithm of 16?

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Question 112962This question is from textbook Algerba 2
: What is the Evalution of Logarithm of 16? This question is from textbook Algerba 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
What base are you working in? If you are working in base 2, then...

log%282%2C16%29 Start with the given expression


log%282%2C16%29=y Set the expression equal to y


2%5Ey=16 Rewrite the log as an exponent


2%5Ey=2%5E4 Rewrite 16 as 2%5E4


Now since the bases are equal, the exponents are equal. So y=4

This means log%282%2C16%29=4