Final answer to the problem
$x=\frac{8}{3}$
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1
Apply the formula: $x^b$$=pfgmin\left(x\right)^b$, where $b=3x-8$ and $x=56$
$\left(72^{3}\right)^{\left(3x-8\right)}=1$
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$\left(72^{3}\right)^{\left(3x-8\right)}=1$
Learn how to solve problems step by step online. Solve the exponential equation 56^(3x-8)=1. Apply the formula: x^b=pfgmin\left(x\right)^b, where b=3x-8 and x=56. Apply the formula: a^x=b\to \log_{a}\left(a^x\right)=\log_{a}\left(b\right), where a=72^{3}, b=1 and x=3x-8. Apply the formula: \log_{b}\left(b^a\right)=a, where a=3x-8 and b=72^{3}. Apply the formula: a^b=a^b, where a=2, b=3 and a^b=2^{3}.
Final answer to the problem
$x=\frac{8}{3}$
Exact Numeric Answer
$x=2.6666667$
