$ f(x)= \begin{cases}(1+3 x)^{\frac{4}{x},} & ext { if } x
eq 0, \ a, & ext { if } x=0 .\end{cases} $ If $f$ is continuous, then $\log a=$

Question

$ f(x)= \begin{cases}(1+3 x)^{\frac{4}{x},} & 	ext { if } x 
eq 0, \ a, & 	ext { if } x=0 .\end{cases} $ If $f$ is continuous, then $\log a=$

Aicharya · Accepted Answer

No solution. Refer to answer key.

$ f(x)= \begin{cases}(1+3 x)^{\frac{4}{x},} & \text { if } x \neq 0, \\ a, & \text { if } x=0 .\end{cases} $…