Exponential Equations -- Substitution Method

Project ID: 
5000000030
Accepted: 
Template: 
Question: 
How many solutions do the following equations have?
Answer Header 1: 
\begin{minipage}[t]{2cm} exactly one\\ solution \end{minipage}
Answer Header 2: 
\begin{minipage}[t]{2cm} exactly two\\ solutions \end{minipage}
Answer Header 3: 
no solutions
Question Row 1: 
$2\cdot9^x-6=4\cdot3^x$
Answer Row 1: 
1
Question Row 2: 
$3^x-10+3^{2-x}=0$
Answer Row 2: 
2
Question Row 3: 
$3^{2x}-6\cdot3^x=27$
Answer Row 3: 
1
Question Row 4: 
$9^x+2\cdot3^x-3=0$
Answer Row 4: 
1
Question Row 5: 
$2^{2x}=-2^x-1$
Answer Row 5: 
3
Question Row 6: 
$4^{2x+1}=17\cdot4^x-4$
Answer Row 6: 
2
Question Row 7: 
$3^x=2+3\cdot3^{2x}$
Answer Row 7: 
3
Question Row 8: 
$49^x+9\cdot7^x+14=0$
Answer Row 8: 
3
Tex: 
% tiket 32640 \pocetsloupcu{3} \QuestionSkip=4\bigskipamount