Logarithmic Expressions Practice Test

Based on the scenario above, find $\Delta\text{pH}$ if $H^+_A=10^{-3}$ and $H^+_B=10^{-5}$.

A savings account grows from $2000$ to $3500$ at $4.5%$ interest compounded monthly. You model the balance by $A=2000\left(1+\frac{0.045}{12}\right)^{12t}$, where $t$ is in years. Use logarithmic identities to rewrite $t$ as a single logarithm in terms of given values. Based on the scenario above, which expression equals $t$?