Logarithm Functions

Simplify: $\frac{a^2b}{\left(2ab^2\right)^3}\div\frac{ab}{16a^0}$  

The function $f:\ R\rightarrow R,\ f\left(x\right)=3\times2^x-1$  has the range:

Which of the following graphs could be the graph of the function $f\left(x\right)=2^{ax}+b$  

Express  $\log_{10}4+2\log_{10}3-\log_{10}6$  as a single logarithm

 $a^x=b$  and  $\log_ab=x$  are equivalent

What is the domain and range of the following:

What is the inverse of the following  $f\left(x\right)=2^x$ ?