Algebra
# Exponential Functions

Given $9^a = 27^{10}$, where $a$ is a positive integer, what is the value of $a$?

How many real values of $x$ satisfy the following equation $9^x - 6 \cdot 3^x - 55 = 0$?

Solve for $x$

$5 ^ x + 5 ^{x-1} + 5 ^ {x-2} = 3875 .$