Solve the logarithmic equation. \[ 3+\ln (8 x)=21-2 \ln x \] Rewrite the given equation without logarithms. Do not solve for $x$. (Type an equation. Type an exact answer. Do not simplify.)

Step 1 ：Isolate the logarithmic terms on one side of the equation and the non-logarithmic terms on the other side: \(\ln (8 x) + 2 \ln x = 21 - 3\)

Step 2 ：Use the property of logarithms that says the logarithm of a product is the sum of the logarithms: \(\ln (8 x^3) = 18\)

Step 3 ：Rewrite the logarithmic term as an exponential term: \(8 x^3 = e^{18}\)

Step 4 ：The given logarithmic equation can be rewritten without logarithms as: \(\boxed{8 x^3 = e^{18}}\)