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Carson
Mathematics
30 May, 16:33
2•log (x - 3) = log 25
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Avah Fry
30 May, 16:57
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Step-by-step explanation:
2log (x-3) = log25
log (x-3) ²=log25 cancel out log on both sides
(x-3) ²=25
x²-6x+9=25
x²-6x+9-25=0
x²-6x-16=0 factorize
x²+2x-8x-16=0
x (x+2) - 8 (x+2)
(x-8) (x+2) = 0
x-8=0 or x+2=0
x=8 or x=-2
x=-2 cannot be considered because of the - ve sign.
x=8.
check
2log (x-3)
2log (8-3)
2log5
log5²=25
therefore LHS=RHS
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