Topics
7. Exponential & logarithmic functions
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United States of AmericaTX
Algebra 2

7.06 Exponential and logarithmic equations

Lesson
Practice

Interactive practice questions

Solve $x^5=3^5$x5=35.

Easy
< 1min

Solve $9^x=9^{-4}$9x=9−4.

Easy
< 1min

Solve $8^{-7}=x^{-7}$8−7=x−7.

Easy
< 1min

Solve $3^x=3^{\frac{2}{9}}$3x=329​.

Easy
< 1min
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Outcomes

A2.5.A

Determine the effects on the key attributes on the graphs of f(x) = b^x and f(x) = log_b (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for specific positive and negative real values of a, c, and d

A2.5.C

Rewrite exponential equations as their corresponding logarithmic equations and logarithmic equations as their corresponding exponential equations

A2.5.D

Solve exponential equations of the form y = ab^x where a is a nonzero real number and b is greater than zero and not equal to one and single logarithmic equations having real solutions

A2.5.E

Determine the reasonableness of a solution to a logarithmic equation

A2.7.I

Write the domain and range of a function in interval notation, inequalities, and set notation

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