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135 Solve Exponential Equations

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Last updated almost 5 years ago
10 questions
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Bell: don't overthink these

solve each without a calculator
Question 1
1.

x^{2}=25

Question 2
2.

2^{x}=8

Question 3
3.

3^{x-1}=27

Notes L7-2: Solving Exponential Equations and Inequalities


We have solved exponential equations using the LN button, but you can also some them using some basic ideas about exponents.

If 2^{x}=64, then x=6 because 64=2^6.
Question 4
4.

Solve 5^{x+2}=125^{x-4}

Question 5
5.

Solve \left(\frac{1}{9}\right)^{x}=27^{x-3}

Question 6
6.

Solve 3^{-2x}=\left(\frac{1}{27}\right)^{x-4}

Question 7
7.

Solve 4^{2x+6}\leq64^{2x-4}

Question 8
8.

Solve 10^{5b+2}>1000

Question 9
9.

Question 10
10.

Choose all that are true

You can now do the first two sections of DeltaMath.