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a) if x= -10^4 then log10 x = -4
b)if x= 2^8 then log 2x = 8
c) log2 2= 4
d) if x= 3 then log10 3=x
e) log 10 256-2log 10 16=0
f)log 10 (a-b)= log 10 a/log 10 b
g) the gradient of the graph of y= 2e^x at x= 2 is 2e^2
h) the gradient of the graph of y= e^x at x= 2is 2e

2007-05-12 06:30:48 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

a)false as negative numbers don´t have log
b)false as 2x=2^9 and log 2x (even in base 2)=9
c)false if you take base 2 ,log2^2 = 2.In base 10 :log 2^2=
2*log 2
e) true as 2 log16 = log 16^2 = log 256
d)It´s not clear log 10^3 =3
f) false You can not simplify log(a-b)
g) y´=2e^x and at x=2 =2e^2 /true
h) false y´=e^x and at x=2 = e^2 and not 2e

2007-05-12 08:41:02 · answer #1 · answered by santmann2002 7 · 0 0

log a (b) = c => b = a^c

b)if x= 2^8 then log 2x = 8
e) log 10 256-2log 10 16=0
g) the gradient of the graph of y= 2e^x at x= 2 is 2e^2

Are true.

2007-05-12 13:37:44 · answer #2 · answered by harry m 6 · 0 0

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