5^((log_5)(x))

Question

Convert the Logarithmic equation to Exponential form

Answer 1

The expression \( 5^{(\log_5)(x)} \) can be interpreted as follows:

In general, the logarithmic equation \( \log_b(a) = c \) can be converted to exponential form as \( b^c = a \).

Here, we have:

\[ \log_5(x) = y \]

This implies that:

\[ 5^y = x \]

Thus, combining these concepts, we can see that:

\[ 5^{(\log_5)(x)} = x \]

So, the expression simplifies to \( x \) when you convert it. Therefore, we have:

\[ 5^{(\log_5)(x)} = x \]

In summary, the conversion gives you the result that \( 5^{(\log_5)(x)} = x \).