Problem preview

F-LE.4 Warmup M3-029-A02-V03

Use logarithms to solve exponential equations of the form ab^(ct)=d and evaluate with technology.

Solve exponential equations by rewriting both sides with a common base and setting the exponents equal

Problem

What is the solution to \(5^{x-3}=1/25\) after rewriting with common bases?

Answer choices

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x = 2

x = 4

x = 1

x = 5

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Curriculum context

Course: Math III
Standard: F-LE.4
Category: Functions
Domain: Linear, Quadratic, and Exponential Models
Objective: Use logarithms to solve exponential equations of the form ab^(ct)=d and evaluate with technology.
Problem type: Solve exponential equations by rewriting both sides with a common base and setting the exponents equal