Answer:
[tex]p=43[/tex]
Step-by-step explanation:
([tex]x^{22}[/tex])([tex]x^{7}[/tex])³ = [tex]x^{p}[/tex]
([tex]x^{7}[/tex])³ = [tex]x^{7*3}[/tex] = [tex]x^{21}[/tex]
([tex]x^{22}[/tex]) ([tex]x^{21}[/tex]) = [tex]x^{22+21}[/tex] = [tex]x^{43}[/tex]
[tex]x^{43}[/tex] = [tex]x^{p}[/tex]
[tex]\ln \left(x^{43} )=\ln \left(x^p\right)[/tex]
[tex]p\ln \left(x\right)=\ln \left(x^{43}\right)[/tex]
[tex]\frac{p\ln \left(x\right)}{\ln \left(x\right)}=\frac{\ln \left(x^{43}\right)}{\ln \left(x\right)}[/tex]
[tex]p=43[/tex]
