Write the logarithmic expression in simplified expanded form as sums or differences without exponents.

$log(\frac{100(2x-3{)}^3}{x^3\sqrt[\phantom{2}]{x3}})$

If you invest $$1024$ into an account with an annual interest rate of $1\mathrm{.}82\%$ compounded quarterly, how long will it take for your account to accumulate $$1500?$ Round the answer to the nearest tenths.

If you invest $$628$ into an account, with an annual interest rate of $2\mathrm{.}44\%$ compounded continuously, how long will it take for your account to accumulate $$1050?$ Round the answer to the nearest tenths.