Learn how to solve problems step by step online. Solve the exponential equation 2^(3x-5)=4^(x+1). Wenden Sie die Formel an: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, wobei a=3x-5, b=x+1, x=2, y=4, x^a=2^{\left(3x-5\right)}, x^a=y^b=2^{\left(3x-5\right)}=4^{\left(x+1\right)} und y^b=4^{\left(x+1\right)}. 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. Wenden Sie die Formel an: a^b=a^c\to b=c, wobei a=2, b=3x-5 und c=2\left(x+1\right). Wenden Sie die Formel an: x\left(a+b\right)=xa+xb, wobei a=x, b=1, x=2 und a+b=x+1.

Solve the exponential equation 2^(3x-5)=4^(x+1)