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secondary 4 | E Maths
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no 5
Date Posted: 5 years ago
Views: 227
rewrite using some indices rules
5^x * 5 = 6^x / 6
Rearrange to get
5^x / 6^x = 1/30
rewrite using some indices rules
(5/6)^x = 1/30
apply ln to both sides
ln(5/6)^x = ln(1/30)
(using some logarithm rules)
xln(5/6) = ln(1/30)
x = ln(1/30) / ln(5/6)
x = 18.6549
5^x * 5 = 6^x / 6
Rearrange to get
5^x / 6^x = 1/30
rewrite using some indices rules
(5/6)^x = 1/30
apply ln to both sides
ln(5/6)^x = ln(1/30)
(using some logarithm rules)
xln(5/6) = ln(1/30)
x = ln(1/30) / ln(5/6)
x = 18.6549
5^x+1=6^x+1
(2^2 +2^0)^x+1 =(2^2 +2^1)^x+1
2^2x+2 +2^0=2^2x+2 +2^x+1
2x+2+0=2x+2+x+1
X=-1
(2^2 +2^0)^x+1 =(2^2 +2^1)^x+1
2^2x+2 +2^0=2^2x+2 +2^x+1
2x+2+0=2x+2+x+1
X=-1
You can't separate the terms like that, Agnes.
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