Problem preview
A-SSE.2 Warmup M3-016-A08-V01

Use expression structure to find useful rewrites.

Rewrite a logarithmic equation in exponential form

Problem

Rewrite \(y~=~\log_2(x)\) in exponential form.

Big Picture

What this problem is really about

A logarithm is a statement about an exponent, so preserve the three roles when rewriting it. The logarithmic base stays the exponential base, the value of the logarithm becomes the exponent, and the argument becomes the result of the power. Reading those roles aloud is a reliable way to prevent swaps.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
A-SSE.2
Category
Algebra
Domain
Seeing Structure in Expressions
Objective
Use expression structure to find useful rewrites.
Problem type
Rewrite a logarithmic equation in exponential form