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What are the steps for solving a logarithmic equation?
To solve a logarithm, start by identifying the base, which is “b” in the equation, the exponent, which is “y,” and the exponential expression, which is “x.” Then, move the exponential expression to one side of the equation, and apply the exponent to the base by multiplying the base by itself the number of times
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A logarithmic equation is an equation that involves the logarithm of an expression containing a variable. To solve exponential equations, first see whether you can write both sides of the equation as powers of the same number.
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Keep the exponential expression by itself on one side of the equation. Get the logarithms of both sides of the equation. You can use any bases for logs. Solve for the variable. Keep the answer exact or give decimal approximations.
How do you solve logarithmic equations algebraically?
To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable. Example 1: Solve for x in the equation Ln(x)=8. Check: You can check your answer in two ways. You could graph the function Ln(x)-8 and see where it crosses the x-axis.
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