What is the Explicit Formula for $\log(\zeta(s))$?

Question

The explicit formula for the logarithmic derivative $\frac{\zeta'(s)}{\zeta(s)}$ is illustrated in (1) below.

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(1) $\quad\frac{\zeta'(s)}{\zeta(s)}=\frac{s}{1-s}+\log(2\,\pi)-\frac{1}{2}H_{\frac{s}{2}}+s\sum\limits_\rho\frac{1}{\rho\,\left(s-\rho\right)}$

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Question (1): Is there a analogous explicit formula for $\log(\zeta(s))$?

Answer 1

use this works find $$\log (\zeta (x))=\Re\left(\sum _{k=1}^{\infty } \log \left(1-\frac{x}{\rho _k}\right)-\text{log$\Gamma $}\left(\frac{x}{2}+1\right)-\log (x-1)+\frac{1}{2} x \log (\pi )+\log \left(\frac{1}{2}\right)\right)$$