SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The inverse of the exponential function:
![f(x)=2^x-3](https://img.qammunity.org/2023/formulas/mathematics/college/9ib7o92kwbfpwxis7l93kvxbuo249x7mrb.png)
is
![g(x)=log_2(x+3)](https://img.qammunity.org/2023/formulas/mathematics/college/qrojwemnua0x443mh9a8fqc8dvt1vplw42.png)
while the graph of the exponential function is a shift of 3 units
![\text{down}](https://img.qammunity.org/2023/formulas/mathematics/college/w5m7cbkayfsyeogpnd3e2zebt426jh52b1.png)
from its parent function, the logarithmic function is a shift of 3 units
![\text{left}](https://img.qammunity.org/2023/formulas/mathematics/college/ebzu0383yagzw5bigzgc8w858yqmpe80jl.png)
from its parent function.