Final Answer
Step-by-step Solution
Specify the solving method
Find the roots of the equation using the Quadratic Formula
Learn how to solve problems step by step online.
$\sqrt[5]{8^{\left(x-1\right)}}=\left(\sqrt[3]{4}\right)^{\left(x+3\right)}$
Learn how to solve problems step by step online. Find the roots of 8^(x-1)^1/5=4^1/3^(x+3). Find the roots of the equation using the Quadratic Formula. Simplify \sqrt[5]{8^{\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 x-1 and n equals \frac{1}{5}. Simplify \left(\sqrt[3]{4}\right)^{\left(x+3\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{3} and n equals x+3. Decompose 8 in it's prime factors.