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What is the approximate solution to the equation 2^t=38 ?

Options

0.1906

3.6380

5.2479

19.0000

*Please and thank you! Happy early merry Christmas, by the way. Christmas break is soon, woo. 0^>*

PhoenixForever Dec 13, 2018

#1**+2 **

2^t = 38 take the log of both sides

log 2^t = log 38 and we can write

t * log 2 = log 38 divide both sides by log 2

t = log (38) / log(2) ≈ 5.2479

Note, Phoenix.....this implies that any exponential equation in the form a^t = b will have the solution of log b / log a .....!!!!

CPhill Dec 13, 2018

#2**+1 **

Thank you for helping me and explaining the process! With these log based problems, sometimes I have a hard time remembering.

PhoenixForever
Dec 13, 2018