Question

Solve the logarithmic equations. $\log _{4}(c+5)=3$

   Solve the logarithmic equations.
$\log _{4}(c+5)=3$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 12, Problem 21

Instant Answer

Solved by Expert Nishant Tyagi

05/18/2021

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Step 1: We start with the given equation: $$\log _{4}(c+5)=3$$ Show more…

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Solve the logarithmic equations. $\log _{4}(c+5)=3$

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Key Concepts

Logarithmic Equation

A logarithmic equation includes an unknown variable found within a logarithmic expression equated to a value. Solving this type of equation typically requires converting the logarithmic form into another form, making the variable more accessible to standard algebraic techniques.

Exponential Form Conversion

The definition of the logarithm states that if log base b of a equals c, then b raised to the power of c equals a. This conversion from logarithmic form to exponential form is essential in isolating the variable, which can then be solved using straightforward algebraic methods.

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