Learn how to solve problems step by step online. Solve the exponential equation 4^(x+7)=8^(x+3). Wenden Sie die Formel an: x^b=pfgmin\left(x\right)^b, wobei b=x+7 und x=4. Simplify \left(2^{2}\right)^{\left(x+7\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+7. Wenden Sie die Formel an: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, wobei a=2\left(x+7\right), b=x+3, x=2, y=8, x^a=2^{2\left(x+7\right)}, x^a=y^b=2^{2\left(x+7\right)}=8^{\left(x+3\right)} und y^b=8^{\left(x+3\right)}. Simplify \left(2^{3}\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 3 and n equals x+3.

Solve the exponential equation 4^(x+7)=8^(x+3)