Solve for x:
Solve for x:
Find the integer interval in which the solution of the following equations will lie:
Consider the equation 3^{x} \times 3^{ n x} = 81.
Simplify 3^{x} \times 3^{ n x}.
Hence, solve the equation.
Solve 3^{x^{2} - 3 x} = 81.
Solve \dfrac{25^{y}}{5^{4 - y}} = \sqrt{125}.
Solve the following equations:
4^{ 2 x} - 65 \times 4^{x} + 64 = 0
The graphs y = 2^{ 5 x} and y = 4^{x - 3} intersect at a certain point.
Find the x-coordinate of the point of intersection.