SOLUTION: Evaluate: log_2 (1024)^3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Evaluate: log_2 (1024)^3       Log On


   

Question 132932: Evaluate:
log_2 (1024)^3

Found 2 solutions by vleith, nycsharkman:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
1.) log2 1024 to the exponent of 3
First thing we need to do is solve for log2 1024
What power of 2 is 1024??
2%5E8+=+1024
So, 8 is log2 1024
Then solve 8%5E3
8%2A8%2A8 = 512

Answer by nycsharkman(136) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate:
log_2 (1024)^3
Let y = log_2 (1024)^3
Rewrite the above equation as
2^y = 1024
The question is now asking you to find a number that when multiplied by ITSELF will give you 1024?
How would you find it?
Here is the trick: take the square root of 1024 using your calculator.
So, the square root of 1024 is 32.
So, y = 32.
Done!