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6.06 Exponential and logarithmic equations

Adaptive
Worksheet

Interactive practice questions

Consider the equation $5^x=13$5x=13.

a

Rearrange the equation into the form $x=\log_am$x=logam.

b

Evaluate $x$x to three decimal places.

Easy
2min

Consider the equation $29^x=5$29x=5.

Easy
2min

Consider the equation $49^x=169$49x=169.

Easy
2min

Consider the equation $4^{-x}=12$4x=12.

Easy
2min
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Outcomes

MA.912.AR.5.2

Solve one-variable equations involving logarithms or exponential expressions. Interpret solutions as viable in terms of the context and identify any extraneous solutions.

MA.912.AR.5.9

Solve and graph mathematical and real-world problems that are modeled with logarithmic functions. Interpret key features and determine constraints in terms of the context.

MA.912.NSO.1.6

Given a numerical logarithmic expression, evaluate and generate equivalent numerical expressions using the properties of logarithms or exponents.

MA.912.NSO.1.7

Given an algebraic logarithmic expression, generate an equivalent algebraic expression using the properties of logarithms or exponents.

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