Question 783612
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You have a common base.  None of the bases are specified so they are all 10.


First use *[tex \Large n\log_b(x)\ =\ \log_b\left(x^n\right)] and *[tex \Large a^{\small{\frac{1}{n}}}\Large\ =\ \sqrt[n]{a}] to clean up the first and third terms.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log\left(x^6\right)\ +\ \log(a)\ -\ \log\left(\sqrt[3]{t}\right)]


Then use the sum of the logs is the log of the product and the difference of the logs is the log of the quotient:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \log\left(\frac{ax^6}{\sqrt[3]{t}\right)]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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