Paragraph: The loganthmic function is defined as _a x=y (a)^y=x...

Paragraph: The loganthmic function is defined as $\log _a$\mathrm{x}=\mathrm{y}$\Rightarrow(\mathrm{a})^y=\mathrm{x}$ where $\mathrm{x}\gt0$. $\mathrm{a}\gt0$ and $\mathrm{a} \neq 1 \log _{10} \mathrm{x}$ is called common logarithm, while $\log _e \mathrm{x}$ is called natural logarithm where c is an irrational quantity whose approximate value is nearly $2.71 \log _e x$ is written as $\ln x$. Where base of $\log$ is not written then it is assumed to be 10 . i.e., $\logx$ means $\log _{10} \mathrm{X}$Question: Solution of the equation $\frac{\log (\sqrt{x+1}+1)}{\log (\sqrt[3]{x-40})}=3$, is