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fiasKO [112]
3 years ago
13

2. The log3 20 can be written as

Mathematics
1 answer:
attashe74 [19]3 years ago
5 0

Answer:

2\log _32+\log _35

Step-by-step explanation:

Given: \log _3 20

To find: the correct option

Solution:

The logarithm function is the inverse function to exponentiation function.

Domain of a logarithmic function = set of real numbers greater than zero Range of a logarithmic function = set of real numbers

\log _3 20=\log _3(2^2\times 5)

As \log _a(xy)=\log _ax+\log _ay,

\log _3 20=\log _32^2+\log _35

As \log _ax^y=y\log _ax ,

\log _3 20=\log _32^2+\log _35\\=2\log _32+\log _35

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