Activity 2: Deepen Your Understanding
Solve for x in the following equations or inequalities. Show your solution.
[tex] 1.{125}^x { }^ - {} {}^1{} = {25}^x{} {}^ + {} {}^3{} [/tex]
[tex]2. {3}^x {}^{2} {} = {9}^x{} {}^ + {} {}^4{} [/tex]
[tex]3. {169}^x{} = {13}^x{} [/tex]
[tex]4. {3}^x{} = 81[/tex]
[tex]5. \frac{4}{6} {}^x{} \geqslant \frac{36}{16} [/tex]
[tex]6. {4}^x{} {}^ + {} {}^2{} < 64[/tex]
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Answer:
1 √72.0
2 3.08
3 2.9
4 98.3
5 √82.2