Question

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

a)x ≈ –0.292
b)x≈ –0.185
c)x ≈ 0.185
d)x ≈ 0.292

Answer 1

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

Answer 2

Yes

Answer 3

\[\log_{3}3^{1-2x} = \log_{3} 2\]
\[1 - 2x = \log_{3} 2\]
\[2x = 1 - \log_{3}2 \]
\[x = (1 - \log_{3}2) / 2 \]

Answer 4

\[\approx.184535\]