Exponential Equations Practice Problems Online

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 $9^x - 6 \cdot 3^x - 55 = 0$ ?

What is the sum of the absolute values of all the $x$ 's that satisfy the equation $(2+\sqrt{3})^x+(2-\sqrt{3})^x=4?$

$x$ and $y$ are real numbers that satisfy $45y = 81^x$ and $5y = 3^{x + 64}$ . What is the value of $x$ ?

Solve for $x$

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

Exponential Equations