SOLUTION: Hi. My teacher gave me a packet to do for a test next wed and i was wondering if you could help me with a problem. Solve for X. Give answers to the nearest 100th. logBASE2(lo

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi. My teacher gave me a packet to do for a test next wed and i was wondering if you could help me with a problem. Solve for X. Give answers to the nearest 100th. logBASE2(lo      Log On


   

Question 455074: Hi. My teacher gave me a packet to do for a test next wed and i was wondering if you could help me with a problem.
Solve for X. Give answers to the nearest 100th.
logBASE2(logBASE2(16))=logBASE7(x)
thank you for your help!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
logBASE2(logBASE2(16))=logBASE7(x)
log%282%2C%28log%282%2C16%29%29%29+=+log%287%2Cx%29
log%282%2C%28log%282%2C2%5E4%29%29%29+=+log%287%2Cx%29
log%282%2C4%29+=+log%287%2Cx%29
log%282%2C2%5E2%29+=+log%287%2Cx%29
2+=+log%287%2Cx%29
7%5E2+=+x
49+=+x