Logarithms-26

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Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.

log8 (x + 4) + log8 (x + 2) = log8 48

Solution:

log8 (x + 4) + log8 (x + 2) = log8 48

or, log8 [(x + 4)(x + 2)]=log8 48

or, x2+6x+8=48

or, x2+6x-40=0

or, x2+10x-4x-40=0

or, x(x+10)-4(x+10)=0

or, (x+10)(x-4)=0

Either , x+10=0 or, x= -10 .

Or, x-4=0 or, x=4 .

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