Question

What is the solution to the equation 3^(1-2x)=2?
x≈-0.292
x≈-0.185
x≈0.185
x≈0.292
What is the solution to the equation 3^(2x)≈4?
x=-0.631
x=-0.396
x=0.396
x=0.631

Answer 1

Take log!

Answer 2

both sides

Answer 3

Take logs of both sides:
\[(1-2x)\ln 3=\ln 2\]
\[1-2x=\frac{\ln 2}{\ln 3}\]
\[-2x=\frac{\ln 2}{\ln 3}-1\]
-2x = 0.63 - 1 = -0.37
x = 0.185

Answer 4

Did u get?