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secondary 3 | A Maths
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Date Posted: 4 years ago
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log5(x⁴/25y)
= log5(x⁴) - log5(25y)
= 4log5(x) - (log5(25) + log5(y))
= 4a - ( log5(5²) + b)
= 4a - (2log5(5) + b)
= 4a - 2 - b
= log5(x⁴) - log5(25y)
= 4log5(x) - (log5(25) + log5(y))
= 4a - ( log5(5²) + b)
= 4a - (2log5(5) + b)
= 4a - 2 - b
log2(3x + 6y) = 2 + log2(6)
log2(3x + 6y) = 2log2(2) + log2(6)
log2(3x + 6y) = log2(2²) + log2(6)
log2(3x + 6y) = log2(4 x 6) = log2(24)
This becomes 3x + 6y = 24
So x + 2y = 8
log2(x½) = log4(2y) + 5log8(1)
log2(x½) = log2(2y)/log2(4) + 0
log2(x½) = log2(2y)/log2(2²)
log2(x½) = log2(2y)/2
2log2(x½) = log2(2y)
log2(x½)² = log2(2y)
log2(x) = log2(2y)
x = 2y
log2(3x + 6y) = 2log2(2) + log2(6)
log2(3x + 6y) = log2(2²) + log2(6)
log2(3x + 6y) = log2(4 x 6) = log2(24)
This becomes 3x + 6y = 24
So x + 2y = 8
log2(x½) = log4(2y) + 5log8(1)
log2(x½) = log2(2y)/log2(4) + 0
log2(x½) = log2(2y)/log2(2²)
log2(x½) = log2(2y)/2
2log2(x½) = log2(2y)
log2(x½)² = log2(2y)
log2(x) = log2(2y)
x = 2y
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