Question

olve for $x$.
$10^x = 10$

Explanation:

Step1: Recall the property of exponential functions

For an exponential function of the form \(a^x = a^y\) (where \(a>0,a
eq1\)), the exponents must be equal, i.e., \(x = y\). In the equation \(10^x=10\), we can rewrite the right - hand side as \(10^1\) since \(10 = 10^1\). So the equation becomes \(10^x=10^1\).

Step2: Apply the exponential property

Using the property \(a^x=a^y\Rightarrow x = y\) (with \(a = 10\), \(x\) as the exponent in the left - hand side and \(y = 1\) as the exponent in the right - hand side), we get \(x=1\).

Answer:

\(x = 1\)