Question

e^x-3=410

Answer 1

take the log of both sides

\[\ln(e^{x -3} )= \ln(410)\]

apply the log law for powers

\[(x -3) \ln(e) = \ln(410)\]

when the base of the log, and base of the power are the same you get 1

\[\ln(e^1) = 1\]

so you can now say

x - 3 = ln(410)

just solve for x