Casio CFX-9970G, User Manual

Page: 73 / 474

46
P.5
2 - 3
Function Calculations
k k
k k
k Logarithmic and Exponential Functions
• Be sure to specify “Comp” for Calculation/binary, octal, decimal, hexadecimal
mode.
Example Operation Display
log 1.23 (log
10
1.23)
= 8.990511144
!
10 –2
l
1.23
w
0.08990511144
In 90 (log
e
90) = 4.49980967
I
90
w
4.49980967
10 1.23 = 16.98243652
(To obtain the antilogarithm
of common logarithm 1.23)
!0
1.23
w
16.98243652
e
4.5
= 90.0171313
(To obtain the antilogarithm
of natural logarithm 4.5)
!e 4.5 w 90.0171313
(–3) 4 = (–3)
!
(–3)
!
(–3)
!
(–3) = 81 ( - 3 ) M 4 w 81
–3 4 = –(3
!
3
!
3
!
3) = –81 - 3 M 4 w – 81
1
7 (= 123
7
) 123
= 1.988647795 7 !q 123 w 1.988647795
2 + 3
!
3 – 4 = 10 2
+
3
*
3
!q
64
-
4
w
* 1 10
64
*
1
^ (
x y
) and
x
take precedence over multiplication and division.
k k k k k
Hyperbolic and Inverse Hyperbolic Functions
• Be sure to specify “Comp” for Calculation/binary, octal, decimal, hexadecimal
mode.
Example Operation Display
sinh 3.6 = 18.28545536 K 6 ( g ) 2 (HYP)
1 (sinh) 3.6 w 18.28545536
cosh 1.5 – sinh 1.5 K 6 ( g ) 2 (HYP)
= 0.2231301601 2 (cosh) 1.5 - 1 (sinh) 1.5 w 0.2231301601
= e
–1.5
I!Kw – 1.5
(Proof of cosh
x
±
sinh
x
=
e
± x
)
cosh –1
20
= 0.7953654612
K
6 (
g
) 2 (HYP)
15
5 (cosh –1 )
(
20
/
15
)
w 0.7953654612
Determine the value of
x
when tanh
4
x
= 0.88
x
= tanh
-1
0.88
K 6
(
g
)
2
(HYP)
4
= 0.3439419141
6
(tanh –1 ) 0.88
/
4
w
0.3439419141
P.5