Question

The value of log4 9. Log3 2 is​

Answer 1

Answer:

the answer is 2.54399859321

Answer 2

5.169

• A base must be raised to a certain exponent or power, or logarithm, in order to produce a specific number.
• Logarithms, which were developed in the 17th century to expedite calculations, significantly decreased the amount of time needed to multiply integers with numerous digits. For more than 300 years, they served as the foundation for numerical labour, but the development of mechanical adding machines in the late 19th century and computers in the 20th century made them obsolete for large-scale calculations.
• Scientists embraced logarithms immediately because of a number of advantageous characteristics that made complicated, time-consuming calculations simpler. In specifically, by looking up each number's logarithm in a special table, adding the logarithms together, and then rechecking the table to discover the number with that computed logarithm (known as its antilogarithm), mathematicians may determine the product of two numbers, m and n. This relationship can be expressed in terms of common logarithms as log mn = log m + log n.

Here, according to the given information, we are given that,

$(log4)^{9} .(log3)^{2}$.

Now, by applying the properties of logarithm, we get,

$(9.log4).(2log3)\\=(5.4185).(0.954)\\=5.169$

Hence, the value is 5.169

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