The equation displayed is:

$\log_{10}(3x) = 5.7$

Steps to Solve:

1. Rewrite the logarithmic equation in exponential form: $3x = 10^{5.7}$

2. Calculate $10^{5.7}$: $10^{5.7} = 501187.2336$

3. Solve for $x$: Divide both sides by 3: $x = \frac{501187.2336}{3} = 167062.4112$

4. Round to the required decimal places: Rounding $x$ to two decimal places: $x = 167062.41$

It seems the given solution ($x = 1.9$) is incorrect based on this calculation. If you would like, I can re-check or explore further details to verify! Let me know.

Questions for further exploration:

1. Would you like me to verify using a different logarithmic base or calculator?
2. Should I re-check your original solution using alternative methods?
3. Do you want a graph representation of this equation?
4. Can I help you understand how logarithmic and exponential relationships work in depth?
5. Would you like to explore how this relates to real-world problems?

Tip: Always double-check base conversions in logarithmic problems, as mistakes in the base or rounding can lead to incorrect results.