Find k and help with the equation!

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Work Shown:

The result is in the form with k = 6+10x

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Explanation:

First we need to get everything as an exponential expression with a base 2.

We rewrite 64 as and 4 as in the second step.

In the third step, I used the rule which says to multiply the exponents together. That's how I went from to . Then the 2*5x in the exponent becomes 10x.

To wrap things up, I used the rule which says to add the exponents when we multiply stuff of the same base together.