Math, asked by sakshisathe1, 1 year ago

log ( 225/32)- log (25/81)+log (64/729) . find the value

Answers

Answered by siddhartharao77
34
We know that log a - log b = log (a/b)

log(225/32) = log (225/32/25/81) + log(64/729)

                    = log (729/32) + log(64/729)

We know that log a + log b = log ab.

                     = log(729/32 * log 64/729)

                    = log 2.


Hope this helps!


The value is 10 base log 2.
Answered by syed2020ashaels
0

Answer:

The final value is log2.

Step-by-step explanation:

We know that log a - log b = log (a/b)

log(\frac{225}{32}) - log(\frac{25}{81})+ log(\frac{64}{729}) = log (\frac{\frac{225}{32} }{\frac{25}{81} }) + log(\frac{64}{729})

                   = log (\frac{729}{32}) + log(\frac{64}{729})

We know that log a + log b = log ab.

                    = log(\frac{729}{32}) * log (\frac{64}{729})

                    = log 2.

In mathematics, before the discovery of number, many mathematical scholars used logarithms to change multiplication and division problems into addition and subtraction problems. In logarithms, a power is raised to some number (usually the base number) to get another number. It is the inverse function of an exponential function. We know that mathematics and science constantly deal with large powers of numbers, the most important and useful ones being logarithms.

What are protocol functions called?

Logarithmic functions are inverses of exponential functions, and any exponential function can be expressed in logarithmic form.

The logarithmic base 10 is called the decimal or common logarithm and is commonly used in science and technology. The natural logarithm has as its base the number e ≈ 2.718; its use is widespread in mathematics and physics because of its very simple derivations.

Logarithms were introduced by John Napier in 1614 as a means of simplifying calculations.[1] They were quickly adopted by navigators, scientists, engineers, surveyors and others to more easily perform highly accurate calculations. Using logarithmic tables, lengthy multi-digit multiplication steps can be replaced by table lookups and simpler additions.

brainly.in/question/1854597

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Answered by syed2020ashaels
0

Answer:

The final value is log2.

Step-by-step explanation:

We know that log a - log b = log (a/b)

log(\frac{225}{32}) - log(\frac{25}{81})+ log(\frac{64}{729}) = log (\frac{\frac{225}{32} }{\frac{25}{81} }) + log(\frac{64}{729})

                   = log (\frac{729}{32}) + log(\frac{64}{729})

We know that log a + log b = log ab.

                    = log(\frac{729}{32}) * log (\frac{64}{729})

                    = log 2.

In mathematics, before the discovery of number, many mathematical scholars used logarithms to change multiplication and division problems into addition and subtraction problems. In logarithms, a power is raised to some number (usually the base number) to get another number. It is the inverse function of an exponential function. We know that mathematics and science constantly deal with large powers of numbers, the most important and useful ones being logarithms.

What are protocol functions called?

Logarithmic functions are inverses of exponential functions, and any exponential function can be expressed in logarithmic form.

The logarithmic base 10 is called the decimal or common logarithm and is commonly used in science and technology. The natural logarithm has as its base the number e ≈ 2.718; its use is widespread in mathematics and physics because of its very simple derivations.

Logarithms were introduced by John Napier in 1614 as a means of simplifying calculations.[1] They were quickly adopted by navigators, scientists, engineers, surveyors and others to more easily perform highly accurate calculations. Using logarithmic tables, lengthy multi-digit multiplication steps can be replaced by table lookups and simpler additions.

brainly.in/question/1854597

#SPJ2

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