Question

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 1

`e^x=3.4\\\\lne^x=ln3.4\\\\x=ln3.4\\\\x\approx1.22`



`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`