# How do you solve #ln2x=2.4#?

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Let's use the diagram below:

This photo tells us that the natural log (ln) and the exponential function (

In our case if we raise e to the ln 2x, we are just left with 2x on the left side since

Now, we have to do the same thing on the right side and raise e to the 2.4 power like this:

When you do that calculation, you obtain an approximate value of 11.02 on the right side:

Now divide both sides by two in order to solve for x:

Thus,

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