NIMCET 2013 — Mathematics PYQ

Solution

1. Solve for $x$:

Using the property ${\log }_{a}b=c⟹b=a^c$:

2. Solve for $y$:

Substitute the value of $x$ into the first equation:

3. Substitute the value of $x$ (which is $2^{10}$):

4. Use the power rule $(a^m{)}^n=a^{m\times n}$: