SOLUTION: Solve for x and perform the functions. log3 (2^x) = 10

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve for x and perform the functions. log3 (2^x) = 10      Log On


   

Question 648869: Solve for x and perform the functions.
log3 (2^x) = 10
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C2%5Ex%29+=+10
3%5Elog%283%2C2%5Ex%29+=+3%5E10
2%5Ex+=+3%5E10
log%282%2C2%5Ex%29+=+log%282%2C3%5E10%29
x+=+log%282%2C3%5E10%29
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x+=+log%283%5E10%29%2Flog%282%29 in your calculator by change of base
x=+10%2Alog%283%29%2Flog%282%29
x+=+15.850