Hp calculators - HP 35s Advanced uses of logarithmic functions Log









hp calculators - HP 35s Advanced uses of logarithmic functions Log

Answer: The log to base 3 of 5 is 1.465 within the current accuracy setting of the calculator as shown by Figure 5. Calculating 3 to this power gives 5.000 
Advanced Logarithms


hp calculators

logarithm of a given number is the exponent that a base number must have to equal Solution: Using the formula given above the log to base 3 of 5 can be ...
s logarithms


Logarithms – University of Plymouth

16 janv. 2001 5. Logarithm of a Power. 6. Use of the Rules of Logarithms ... (b) We can do the same calculation using instead logs to base e.
PlymouthUniversity MathsandStats logarithms


Logarithms

5. 8. The logarithm of 1 loga 1=0. 6. 9. Examples. 6. 10. Exercises. 8. 11. Standard bases 10 and e log and ln. 8. 12. Using logarithms to solve equations.
mc ty logarithms





hp calculators

Common logarithms are also called “log to base 10” and the common logarithm of a hp calculators. HP 33S Advanced uses of logarithmic functions. Figure 5.
sLog


6.2 Properties of Logarithms

Rule2 and we keep in mind that the common log is log base 10. log 3 ln(5) ln(4) . Evaluating this in the calculator gives ln(5).
S&Z . & .


Table of Contents - General Guide. - Turning on or off. Battery

Continuous calculation function. Answer function.. Scientific Calculation Logarithms and Antilogarithms. Fraction calculation. Angle units conversion.
SR N


hp calculators

hp calculators. HP 30S Logarithmic Functions Solution: Using the formula given above the log to base 3 of 5 can be calculated as.
Slogarithms





Logarithms:

Your calculator will be able to calculate logarithms to bases 10 and e (and possibly more). Usually the log button is used for base 10
logarithms


Lesson 5-2 - Using Properties and the Change of Base Formula

Common logarithin and natural logarithm functions are typically built into calculator systems. However it is possible to use a calculator to evaluate.


211344 hp calculators - HP 35s Advanced uses of logarithmic functions Log hp calculators

HP 35s Advanced uses of logarithmic functions

Log and antilog functions

Practice using log and antilog functions

hp calculators

HP 35s Advanced uses of logarithmic functions

hp calculators - 2 - HP 35s Advanced uses of logarithmic functions - Version 1.0

Log and antilog functions

Before calculators like the HP 35s became easily available, logarithms were commonly used to simply multiplication.

They are still used in many subjects, to represent large numbers, as the results of integration, and even in number

theory.

The HP 35s has four functions for calculations with logarithms. These are the "common" logarithm of "x", , its

inverse, , the "natural" logarithm of "x", and its inverse, .

Common logarithms are also called "log to base 10" and the common logarithm of a number "x" is written

LOG 10 x or just LOG x

Natural logarithms are also called "log to base e" and the natural logarithm of a number "x" is written

LOG e x or LN x Logarithms can be calculated to other bases, for example the log to base two of x is written LOG 2 x

Some problems need the logarithm of a number to a base n, other than 10 or e. On the HP 35s these can be calculated

using one of the formulae LOG n x = LOG 10 x ÷ LOG 10 n LN n x = LN e x ÷ LN e n and are also called "antilogarithms" or "antilogs". is also called the "exponential" function or

"exp". Apart from being the inverses of the log functions, they have their own uses. is very useful for entering

powers of 10, especially in programs where the key can not be used to enter a power that has been calculated.

is used in calculations where exponential growth is involved. The function can be seen as the base "n" antilog function. If 10 x is the inverse of log 10 x and e x is the inverse of log e x, then y x is the inverse of log y x.

Practice using log and antilog functions

Example 1: Find the common logarithm of 2.

Solution:

In RPN mode type

In algebraic mode type

Figure 1

Answer:

The common logarithm of 2 is very nearly 0.3010.

hp calculators

HP 35s Advanced uses of logarithmic functions

hp calculators - 3 - HP 35s Advanced uses of logarithmic functions - Version 1.0

Example 2: A rare species of tree has a trunk whose cross-section changes as 1/x with the height x. (Obviously this

breaks down at ground level and at the tree top.) The cross section for any such tree is given by A/x, where

A is the cross-section calculated at 1 meter above the ground. What is the volume of the trunk between 1

meter and 2 meters above ground? hp calculators

HP 35s Advanced uses of logarithmic functions

Log and antilog functions

Practice using log and antilog functions

hp calculators

HP 35s Advanced uses of logarithmic functions

hp calculators - 2 - HP 35s Advanced uses of logarithmic functions - Version 1.0

Log and antilog functions

Before calculators like the HP 35s became easily available, logarithms were commonly used to simply multiplication.

They are still used in many subjects, to represent large numbers, as the results of integration, and even in number

theory.

The HP 35s has four functions for calculations with logarithms. These are the "common" logarithm of "x", , its

inverse, , the "natural" logarithm of "x", and its inverse, .

Common logarithms are also called "log to base 10" and the common logarithm of a number "x" is written

LOG 10 x or just LOG x

Natural logarithms are also called "log to base e" and the natural logarithm of a number "x" is written

LOG e x or LN x Logarithms can be calculated to other bases, for example the log to base two of x is written LOG 2 x

Some problems need the logarithm of a number to a base n, other than 10 or e. On the HP 35s these can be calculated

using one of the formulae LOG n x = LOG 10 x ÷ LOG 10 n LN n x = LN e x ÷ LN e n and are also called "antilogarithms" or "antilogs". is also called the "exponential" function or

"exp". Apart from being the inverses of the log functions, they have their own uses. is very useful for entering

powers of 10, especially in programs where the key can not be used to enter a power that has been calculated.

is used in calculations where exponential growth is involved. The function can be seen as the base "n" antilog function. If 10 x is the inverse of log 10 x and e x is the inverse of log e x, then y x is the inverse of log y x.

Practice using log and antilog functions

Example 1: Find the common logarithm of 2.

Solution:

In RPN mode type

In algebraic mode type

Figure 1

Answer:

The common logarithm of 2 is very nearly 0.3010.

hp calculators

HP 35s Advanced uses of logarithmic functions

hp calculators - 3 - HP 35s Advanced uses of logarithmic functions - Version 1.0

Example 2: A rare species of tree has a trunk whose cross-section changes as 1/x with the height x. (Obviously this

breaks down at ground level and at the tree top.) The cross section for any such tree is given by A/x, where

A is the cross-section calculated at 1 meter above the ground. What is the volume of the trunk between 1

meter and 2 meters above ground?
  1. log calculator base 5