7B2%7Dx%20%3D%202" id="TexFormula1" title=" log_{2}(3x + 4) - 7 log_{4}{x}^{2} + log_{2}x = 2" alt=" log_{2}(3x + 4) - 7 log_{4}{x}^{2} + log_{2}x = 2" align="absmiddle" class="latex-formula">
simplify
1 answer:
First of all, we need all logarithms to have the same base. So, we use the formula

To change the second term as follows:

Finally, using the property

we have

So, the equation becomes

We can now use the formula

to write the equation as

Now consider both sides as exponents of 2:

This equation has no "nice" solution, so I guess the problem is as simplifies as it can be
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Step-by-step explanation:
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