Determine the validity of the given statement.

$\log_812^7=12\log_87$

Evaluate the expression $\log_232$ without using a calculator.

If a constant $d > 1$ has a natural logarithm value of $\ln d\thickapprox5.2983$, estimate the values of $\log_5d$ and $\log_{d}5$ using the fact that $\ln5\thickapprox1.6094$.

Given that $\log_{a}\left(p\right)=0.45$, evaluate the expression $\log_{a}p^3$.