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Klogarithmic and exponential functions, Khyperbolic and inverse hyperbolic functions – Casio fx-9750G PLUS User Manual

Page 74

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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

1.23w

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

P.5

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