SOLUTION: 1/2 log(base)2^x = log(base)2^5 The 1/2 is really throwing me off. I think it equals 2sqrtX right? If so, what does the right side simplify to?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1/2 log(base)2^x = log(base)2^5 The 1/2 is really throwing me off. I think it equals 2sqrtX right? If so, what does the right side simplify to?      Log On


   

Question 972431: 1/2 log(base)2^x = log(base)2^5
The 1/2 is really throwing me off. I think it equals 2sqrtX right? If so, what does the right side simplify to?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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I am unclear about the question: If these are intended to be base 2, what is the exponentiation (up arrow) for, and if not, what does the (base) mean?
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%281%2F2%29log2%5Ex=log2%5E5 Multiply each side by 2
log+%282%5Ex%29=2log2%5E5
log2%5Ex=log2%5E10
x=10
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%281%2F2%291og%5B2%5Dx=1og%5B2%5D5
1og%5B2%5Dx=21og%5B2%5D5
1og%5B2%5Dx=1og%5B2%5D5%5E2
1og%5B2%5Dx=1og%5B2%5D25
x=25