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what is logarithmic equation with example. When one side of the equation contains a single logarithm and the other side contains a constant the equation can be solved by rewriting the equation as an equivalent exponential equation using the definition of logarithm from above. For example consider the equation log22 log23x 5 3.
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For example we know that the following exponential equation is true. There are no restrictions on y. Study each case carefully before you start looking at the worked examples below.
Types of Logarithmic Equations The first type looks like this.
For example consider the equation log22log23x5 3 l o g 2 2 l o g 2 3 x 5 3. Log 2 x log 2 x - 3 2. A logarithmic function is a function of the form which is read y equals the log of x base b or y equals the log base b of x In both forms x 0 and b 0 b 1. For example if we have 8 2 3 then the base is 2 the exponent is 3 and the result is 8.
