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Iteru [2.4K]
3 years ago
9

How do you evaluate logarithms? Explain using an example or mathematical evidence to support your answer.

Mathematics
2 answers:
kenny6666 [7]3 years ago
6 0

Answer: Explanation below.

Step-by-step explanation:

First of all you need to know how to convert a logarithm into an exponential expression. The property is:

log_Bx=n

This is the same as: B^n=x

Example 1:

log_99=

We are trying to find what to raise 9 to, in order to get a result of 9.

9^x=9

When you have same bases, you equal exponents.

x=1

Therefore; log_99=1

Example 2:

log_232=

2^x=32

In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as: 2^5 which is 2*2*2*2*2

Rewriting this example we have;

2^x=2^5

Since we have the same base, we equal exponents.

x=5

Therefore; log_232=5

Example 3:

log_3729=

3^x=729

729 can have a base of 3 if expressed as: 3^6

3^x=3^6

x=6

zvonat [6]3 years ago
4 0

Answer:

  use a calculator

Step-by-step explanation:

The logarithm function is a transcendental function not generally amenable to calculation by hand (possibly except when logarithms are small integers). It can only be evaluated for numbers. The logs of variable expressions can only be indicated.

Attached is an example of a calculator giving the natural log of 2.

_____

<em>Comment on hand calculation</em>

Before the advent of computers, logarithms were calculated by hand. It often took many years of calculation to produce usable tables of logarithms. Not only were logs of numbers provided in tables, but also logs of trig functions of angles. The latter greatly aided global navigation, making it possible to easily compute navigation functions.

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y = mx + b
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so ur parallel equation is : y = -2x + 10
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3 years ago
Let $ 500 be paid at the end of each quarter for 5 years. If the interest is earned rate of 13%, compounded quarterly, find the
kap26 [50]

Answer:

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Step-by-step explanation:

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Number of period n = 5 x 4 = 20 quarter

Find:

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Computation:

Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\

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I NEED ANSWERS PLEAS HELP FOR SCIENCE ​
s2008m [1.1K]

Answer2 i would say bc it has the lest so it is ez to react

Step-by-step explanation:

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The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the s
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