SOLUTION: evalute the following exactly a) {{{log(12,1)}}} b) {{{log(2,16)}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: evalute the following exactly a) {{{log(12,1)}}} b) {{{log(2,16)}}}      Log On


   

Question 242395: evalute the following exactly
a) log%2812%2C1%29
b) log%282%2C16%29
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
evalute the following exactly
a) log%2812%2C1%29
b) log%282%2C16%29 

log%2812%2C1%29 asks this question:

"To what power must the base 12 be raised in order to get 1?"

The answer to that question is:

"12 must be raised to the 0 power in order to get 1". 

Therefore log%2812%2C1%29=0

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log%282%2C16%29 asks this question:

"To what power must the base 2 be raised in order to get 16?"

The answer to that question is:

"2 must be raised to the 4 power in order to get 16". 

Therefore log%282%2C16%29=4

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Edwin