Exercise
$25^x+5^{x+1}=750$
Step-by-step Solution
Learn how to solve special products problems step by step online. Solve the exponential equation 25^x+5^(x+1)=750. Decompose 25 in it's prime factors. Simplify \left(5^{2}\right)^x 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. Move everything to the left hand side of the equation. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n.
Solve the exponential equation 25^x+5^(x+1)=750
Final answer to the exercise
$x=2$