Question 174251
log378= 2.5775
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5In(r) + 3In(t) - 4In(s) 
= lnr^5 + lnt^3 - lns^4
= ln[r^5*t^3/s^4]
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In(x) +In(x-2) = In(x+2) + In(x-3)
= ln[x(x-2)] = ln[(x+2)(x-3)]
x(x-2) = (x+2)(x-3)
x^2 - 2x = x^2 -x -6
x = 6
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g(x) = x^2+3 and h(x) = (x+ 3)/2         
                                                  
Find (h o g)(x) = h[x^2+3] = [(x^2+3)+3]/2 = [x^2+6]/2
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Cheers,
Stan H.