Logarithm 7

Algebra Level pending

If

$$z = \frac{1}{2} [ e^{\ln (5\pi)} + \log(9) - \pi \ln(e^{3}) - \log(3) + \ln(2) \log(e) ]$$,

where $$\ln$$ is the natural logarithm and $$\log$$ is the common logarithm,

and considering that $$\frac{\ln(6)}{\ln(10)} \approx 0.78$$, $$\pi \approx 3.14$$, $$\sqrt {11} \approx 3.316$$ and $$\sqrt {13} \approx 3.605$$

Then, is valid that...

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