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A logarithmic equation is an equation that involves the logarithm of an expression containing a varaible. What are the 3 types of logarithms? The three types of logarithms are common logarithms (base 10), natural logarithms (base e), and logarithms with an arbitrary base.
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Then, take the logarithm of both sides of the equation to...
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Solve a logarithmic equation algebraically. Solve a...
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What is a Logarithmic Equation. A logarithmic equation is a type of algebra equation in which the unknown (typically x or y) goes inside of one of more logarithmic functions. For example, a very simple logarithmic equation would be \[\displaystyle \log_2(x+2) = \log_2(8) \]
Solve a logarithmic equation algebraically. Solve a logarithmic equation graphically. Use the one-to-one property of logarithms to solve a logarithmic equation. Solve a radioactive decay problem.
On a calculator it is the "log" button. It is how many times we need to use 10 in a multiplication, to get our desired number. Example: log(1000) = log 10 (1000) = 3
We solve this sort of equation by setting the insides (that is, setting the "arguments") of the logarithmic expressions equal to each other. For example: Solve log2(x) = log2(14). The logarithms on either side of the equation have the same base;namely, a base of 2.
Here, we show you a step-by-step solved example of logarithmic equations. This solution was automatically generated by our smart calculator: $\log_4\left(x\right)=3$
Use like bases to solve exponential equations. Use logarithms to solve exponential equations. Use the definition of a logarithm to solve logarithmic equations. Use the one-to-one property of logarithms to solve logarithmic equations. Solve applied problems involving exponential and logarithmic equations.
