Question

What is the solution to the equation 3^1-2x = 2?

Answer 1

\[3^{1-2 x}=2\]

Answer 2

\[\begin{array}{l} 3^{1-2 x}=2 \\ \text{take the log to the base }3\text{ of both sides and rearrange it} \\ 1-2 x=\frac{\log (2)}{\log (3)} \\ \text{Subtract }1\text{ from both sides} \\ -2 x=\frac{\log (2)-\log (3)}{\log (3)} \\ \text{divide both sides by }-2 \\ x=-\frac{\log (2)-\log (3)}{2 \log (3)} \\\end{array}\]

Answer 3

The options are:
-0.292
-0.185
0.185
0.292

Answer 4

do you have a calculator?

Answer 5

no.

Answer 6

you need it to calculate decimal solutions.
0.185

Answer 7

Thanks!

Answer 8

welcome