Answered

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. Please explain how you got the answer. 

e^x=3.4


2^x+6=3



Answer :

[tex]e^x=3.4\\\\lne^x=ln3.4\\\\x=ln3.4\\\\x\approx1.22[/tex]


[tex]2^{x+6}=3\\\\log_22^{x+6}=log_23\\\\x+6=log_23\\\\x=log_23-6\\\\x\approx1.58-3\\\\x\approx-1.42[/tex]