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liberstina [14]
4 years ago
10

Which fraction is equivalent to 2/6?

Mathematics
1 answer:
Dominik [7]4 years ago
3 0
1/3 is equivalent to 2/6
If you know (2) goes into both, 2 and 6, you can divide 2 into the top and bottom number and get 1/3
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Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) righ
wolverine [178]

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

b = \log_a(c)

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)

Log with base e = 2.71828... is written as \ln(x) simply.

Log with base 10 is written as \log(x) simply.


The equation given is:

\log_3(x+5) = 2

By using the definition of log, which says a^b = c \leftrightarrow \log_a(c) = b, we get:

(x+5) = 2^3 or 2^3 = x+5

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

Learn more about logarithm here:

brainly.com/question/20835449

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Step-by-step explanation:

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2. {} none

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