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Find the value of the expression below.
log5 2 + log5 10 - log5 4

Find the value of the expression below. log5 2 + log5 10 - log5 4-example-1

1 Answer

6 votes

Answer:

A. 1

Explanation:

To find the value of the expression, we will follow the steps below:

log₅2 + log₅10 -log₅4

From the rules of logarithm

logₐb + logₐc = logₐbc

similarly

logₐb - logₐc = logₐb/c

applying the two rules above to our expression will yield:

log₅2 + log₅10 -log₅4

=log₅(2 x 10) /4

=log₅20/4

=log₅5

also according to the rule of logarithm, logₐa=1

Therefore,

log₅5 =1

Therefore, the correct answer is 1

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