How do you solve #4^x*3^(2x-x) = 144# for #x# ?
Here's how you can quickly solve this equation.
Use the power of a power property of exponents to write
The equation becomes
Now focus on writing the prime factors of
This means that you have
This is equivalent to having
Simplify the equation to
So the original equation simplifies to:
Since exponentiation is a one-one function, the only solution is