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AVprozaik [17]
3 years ago
8

How do I write log7t as a base 2 logarithm?

Mathematics
2 answers:
olga_2 [115]3 years ago
4 0

Answer:

log2t/log2^7

Step-by-step explanation:

(what the other dude said)

irina [24]3 years ago
3 0

Given:

The value is \log_7t.

To find:

The value as a base 2 logarithm.

Solution:

We know that,

\log_xy=\dfrac{\log_ay}{\log_ax}

where, a is any positive value.

We have,

\log_7t

Using the above property of logarithm, we get

\log_7t=\dfrac{\log_at}{\log_a7}

For a=2,

\log_7t=\dfrac{\log_2t}{\log_27}

Therefore, the given value as a base 2 logarithm can be written as \dfrac{\log_2t}{\log_27}.

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