Question

Select the correct answer. which exponential equation is equivalent to this logarithmic equation?

Answer 1

logarithmic equation log x = 4 is given by- $10^{4}$ = 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;

$log x = 4$

Since, log with base 10 is written as $log x$  simply, therefore, we have:

$log_{10} x$ = 4

Using the definition of logarithm, we get;

$x = 10^{4}$

Equivalently, $10^{4} = x$

Thus, the exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by- $10^{4}$ = x

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The complete question is -

Which exponential equation is equivalent to this logarithmic equation?

log x = 4