Work out the value of x if p=4
($2^{3}$)$^{x+5}$=$5.2^{7x-5p}$+$((7)(-4)^{p}$ $)^{x+1}$
You asked:
Given the following equations: \[\begin{aligned}p &= 4\\ {{2}^{3}}^{x + 5} &= {5.2}^{7 x - 5 p} + {\left( 7 \cdot {\left( -4 \right)}^{p} \right)}^{x + 1}\end{aligned}\] Evaluate \(x\).