Question

Solve each exponential equation. $$4^{y}=16$$

   Solve each exponential equation.
$$4^{y}=16$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 2nd Edition

Chapter 13, Problem 32

Instant Answer

Solved by Expert Katelyn Chen

06/26/2020

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Solve each exponential equation. $$4^{y}=16$$

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Key Concepts

Rewriting Bases

Rewriting bases is a method used in solving exponential equations where both sides of the equation are expressed using the same base. This tactic simplifies the process by allowing the exponents to be directly equated, which makes it easier to solve for the variable.

Properties of Exponents

Properties of exponents are fundamental rules that govern the operations of exponential expressions, such as the rule that if a^m = a^n (and a is not equal to zero), then m must equal n. This principle is essential when solving exponential equations by equating the exponents once a common base is achieved.

Exponential Equations

Exponential equations are equations in which variables appear as exponents. Solving these equations typically involves finding a method to isolate the exponent — either by rewriting both sides of the equation so that they have the same base or applying logarithms.

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