Question

Rewrite as an exponential equation..ln 9 = x

Answer 1

Mathematics → Exponential Functions and Properties of Exponents → Exponential Functions

Given the equation:

$ln9=x$

To write it as an exponential equation, follow the steps below.

Step 01: Use the definition of ln.

Knowing that:

$ln=log_e$

Substitute it in the equation:

$log_e9=x$

Step 02: Use the definition of log.

The definition of log is:

$log_ba=c\Leftrightarrow b^c=a$

In this question, we have:

$log_e9=x\Leftrightarrow e^x=9$

Answer:

$e^x=9$