Solving Exponential Equations Without Logs (Grades 11-12)
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Solving Exponential Equations Without Logs
1.
Solve. [math]3^{x-1} = 3[/math]
- [math]x=2[/math]
- [math]x=1[/math]
- [math]x=4[/math]
- [math]x=0[/math]
2.
What is the solution of [math]6^(x + 1) = 6^(2x - 3)?[/math]
- [math]x=0[/math]
- [math]x=2[/math]
- [math]x=4[/math]
- [math]"No solution"[/math]
3.
Solve.
[math]8^(2x)=4^(x-1)[/math]
[math]8^(2x)=4^(x-1)[/math]
- [math]x=1/2[/math]
- [math]x=2/3[/math]
- [math]x=3/5[/math]
- [math]x=-1/2[/math]
4.
Solve for x. [math]3^(x+2) = 27[/math]
- 3
- 1
- 2
- 9
- None of these are correct
5.
Solve for x:
[math]10^(x^2+1) = 100^x[/math]
[math]10^(x^2+1) = 100^x[/math]
- 4
- 3
- 2
- 1
- None of these are correct
6.
Solve for x. [math](4/5)^(x-3) = (25/16)[/math]
- [math]-2[/math]
- [math]1[/math]
- [math]1/2[/math]
- [math]0[/math]
- none of these are correct
7.
Solve for x.
[math]root3(16)=8^x[/math]
[math]root3(16)=8^x[/math]
- [math]x=4[/math]
- [math]x=7/3[/math]
- [math]x=4/9[/math]
- [math]x=1/9[/math]
8.
Solve. [math]root[4](8^(5)) = 16^(3x) [/math]
- [math]x = 5/12 [/math]
- [math]x = 5/16[/math]
- [math]x = 15/14 [/math]
- [math] x = 5/14 [/math]
9.
Solve for [math]x[/math]. [math]2^x/8^(x-2) = 16^(3x-2)[/math]
- [math] x = 1 [/math]
- [math] x = 2/7 [/math]
- [math] x = 4/3 [/math]
- [math] x = 4/7 [/math]
10.
Solve. [math] (5/3)^(3x-2) = 1 [/math]
- [math] x = 2/3 [/math]
- [math] x = 1[/math]
- [math] x = 0[/math]
- [math]"Not possible without logarithms"[/math]
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