Final Answer
Step-by-step Solution
Specify the solving method
Find the roots of the equation using the Quadratic Formula
Learn how to solve equations problems step by step online.
$\sqrt{2^{\left(2x-3\right)}}=4^{\left(x-1\right)}$
Learn how to solve equations problems step by step online. Find the roots of 2^(2x-3)^1/2=4^(x-1). Find the roots of the equation using the Quadratic Formula. Simplify \sqrt{2^{\left(2x-3\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2x-3 and n equals \frac{1}{2}. Rewrite the power 4^{\left(x-1\right)} with base 2. Simplify \left(2^{2}\right)^{\left(x-1\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals x-1.