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Sagot :
logarithmic equation log x = 4 is given by- [tex]10^{4}[/tex] = x
What is logarithmic equation?
- 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.
The given logarithmic equation is;
[tex]log x = 4[/tex]
Since, log with base 10 is written as [tex]log x[/tex] simply, therefore, we have:
[tex]log_{10} x[/tex] = 4
Using the definition of logarithm, we get;
[tex]x = 10^{4}[/tex]
Equivalently, [tex]10^{4} = x[/tex]
Thus, the exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by- [tex]10^{4}[/tex] = x
Learn more about logarithmic equation
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The complete question is -
Which exponential equation is equivalent to this logarithmic equation?
log x = 4
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