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# Solving Exponential Equations Without Logs (Grades 11-12)

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## Solving Exponential Equations Without Logs

1.
Solve. $3^{x-1} = 3$
1. $x=2$
2. $x=1$
3. $x=4$
4. $x=0$

2.
What is the solution of $6^(x + 1) = 6^(2x - 3)?$
1. $x=0$
2. $x=2$
3. $x=4$
4. $"No solution"$
3.
Solve.
$8^(2x)=4^(x-1)$
1. $x=1/2$
2. $x=2/3$
3. $x=3/5$
4. $x=-1/2$

4.
Solve for x. $3^(x+2) = 27$
1. 3
2. 1
3. 2
4. 9
5. None of these are correct
5.
Solve for x. $10^(x^2+1) = 100^x$
1. 4
2. 3
3. 2
4. 1
5. None of these are correct

6.
Solve for x. $(4/5)^(x-3) = (25/16)$
1. $-2$
2. $1$
3. $1/2$
4. $0$
5. none of these are correct
7.
Solve for x.
$root3(16)=8^x$
1. $x=4$
2. $x=7/3$
3. $x=4/9$
4. $x=1/9$

8.
Solve. $root[4](8^(5)) = 16^(3x)$
1. $x = 5/12$
2. $x = 5/16$
3. $x = 15/14$
4. $x = 5/14$
9.
Solve for $x$. $2^x/8^(x-2) = 16^(3x-2)$
1. $x = 1$
2. $x = 2/7$
3. $x = 4/3$
4. $x = 4/7$

10.
Solve. $(5/3)^(3x-2) = 1$
1. $x = 2/3$
2. $x = 1$
3. $x = 0$
4. $"Not possible without logarithms"$
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