To compare: The ways to solve exponential and logarithmic equations.
Explanation of Solution
Given Information:
Compare the way exponential and logarithmic equations are solved.
Compare the methods exponential and logarithmic equations are solved.
Exponential equations: An exponential equation is an equation in which an exponent acts as the variable.
To solve exponential equations, first see if both sides of the equation can be written as powers of the equal number. If the number is not equal then take both sides of the equation with the standard logarithm and then solve the equations.
Logarithmic equations: An algorithmic equation is an equation that integrates the logarithm of a variable-containing expression.
To solve logarithmic equation, first rewrite the equation in exponential form and then solve the equations.
Hence, by comparing it is seen that when solving exponential equations, the exponents can be set equal once a common base is found. If the bases are not the same, try solving the equations by taking logarithm of each side. When solving the logarithmic equations, both sides of the equations can be exponentiated to obtain an equation with no logarithms and try to solve the equations.
Chapter 6 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
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