Klogarithmic and exponential functions, Khyperbolic and inverse hyperbolic functions – Casio fx-9750G PLUS User Manual
Page 74
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46
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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
1.23w
0.08990511144
In 90 (log
e
90) = 4.49980967
I
90w
4.49980967
10
1.23
= 16.98243652
(To obtain the antilogarithm
of common logarithm 1.23)
!0
1.23w
16.98243652
e
4.5
= 90.0171313
(To obtain the antilogarithm
of natural logarithm 4.5)
!e
4.5w
90.0171313
(–3)
4
= (–3)
Ч (–3) Ч (–3)
Ч (–3) = 81
(-
3)M4w
81
–3
4
= –(3
Ч 3 Ч 3 Ч 3) = –81
-
3M4w
– 81
1
7
(= 123
7
)
123
= 1.988647795
7!q123w
1.988647795
2 + 3
×
3
– 4 = 10
2+3*3!q64-4w*
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
K6
(g)2(HYP)
1
(sinh)
3.6w
18.28545536
cosh 1.5 – sinh 1.5
K6
(g)2(HYP)
= 0.2231301601
2
(cosh)
1.5-1(sinh)1.5w
0.2231301601
=
e
–1.5
I!Kw
– 1.5
(Proof of cosh
x
± sinh
x
=
e
±x
)
cosh
–1
20 = 0.7953654612
K6
(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
K6
(g)2(HYP)
4
= 0.3439419141
6
(tanh
–1
)
0.88/4w
0.3439419141
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