Learn how to solve kombinieren gleicher begriffe problems step by step online. Solve the exponential equation 2^(x^2+23x+-3)=8^(8x+3). Wenden Sie die Formel an: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, wobei a=x^2+23x-3, b=8x+3, x=2, y=8, x^a=2^{\left(x^2+23x-3\right)}, x^a=y^b=2^{\left(x^2+23x-3\right)}=8^{\left(8x+3\right)} und y^b=8^{\left(8x+3\right)}. Simplify \left(2^{3}\right)^{\left(8x+3\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 8x+3. Wenden Sie die Formel an: a^b=a^c\to b=c, wobei a=2, b=x^2+23x-3 und c=3\left(8x+3\right). Wenden Sie die Formel an: x\left(a+b\right)=xa+xb, wobei a=8x, b=3, x=3 und a+b=8x+3.

Solve the exponential equation 2^(x^2+23x+-3)=8^(8x+3)