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To solve a logarithmic equations use the esxponents rules to isolate logarithmic expressions with the same base. Set the arguments equal to each other, solve the equation and check your answer. A logarithmic equation is an equation that involves the logarithm of an expression containing a varaible. The three types of logarithms are common ...
- Exponential
Then, take the logarithm of both sides of the equation to...
- Exponential
10 Απρ 2022 · Solve exponential equations by rewriting with a common base, or rewriting in logarithmic form. Solve logarithmic equations by rewriting in exponential form or using the one-to-one property of logarithms.
How to solve logarithm expessions by re-writing the logarithm as an exponential equation
25 Μαΐ 2021 · When given an equation of the form \({\log}_b(S)=c\), where \(S\) is an algebraic expression, we can use the definition of a logarithm to rewrite the equation as the equivalent exponential equation \(b^c=S\), and solve for the unknown.
Given an equation in logarithmic form log b (x) = y, log b (x) = y, convert it to exponential form. Examine the equation y = log b (x) y = log b (x) and identify b, y, and x. b, y, and x. Rewrite log b (x) = y log b (x) = y as b y = x. b y = x.
Rewrite the logarithmic equation in exponential form. Now simplify the exponent and solve for the variable. Verify your answer by substituting it back in the logarithmic equation.
Step 1: Use the properties of the logarithm to isolate the log on one side. Step 2: Apply the definition of the logarithm and rewrite it as an exponential equation. Step 3: Solve the resulting equation. Step 4: Check your answers. If the answer to the logarithmic equation makes the argument negative then it is extraneous.
