2^45 = 10^15?

Nope.....let's use logs

log 2^45   =?  log 10^15

45 log 2  =?  15 log 10

3 log 2 = ? log 10

3 = ? log 10/log2

3 =? 1/.301=3.322      NOT true !!!

2^45  = 10^15   ???

45 log 2  = 15 log10  ???

45log2  = 15  ???

log 2 =  15/45  ???

log 2  = 1/3  ???

2 = 10^(1/3)  =   ???

2^3  = 10  ????      No......not equal....2^3   = 8