Respuesta :

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