i) x = (-5)^3-(-8)
x = -5¹¹
ii) as LHS=RHS, then let us inverse it, i.e,
32^x-12 = 8^x+10,
2⁵^x-12 = 2³^x+10
as bases are same power can be equated
5(x-12)=3(x+10)
5x-60=3x+30
5x-3x=90
2x=90
x= 45
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Answers & Comments
i) x = (-5)^3-(-8)
x = -5¹¹
ii) as LHS=RHS, then let us inverse it, i.e,
32^x-12 = 8^x+10,
2⁵^x-12 = 2³^x+10
as bases are same power can be equated
5(x-12)=3(x+10)
5x-60=3x+30
5x-3x=90
2x=90
x= 45