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Arjun incorrectly writes log7 + log7 − log7 as a single logarithm.


log7 + log7 − log7 = log7 ( + − )


Where did Arjun make errors? Explain his errors and the properties of logarithms that leads to the correct answer. State the correct answer.


I struggle in math and I've been trying this for an hour and I still can't get it

Respuesta :

Answer:

log7 + log7 − log7 = + log7

This is correct answer

Step-by-step explanation:

Explanation:-

we will use properties of logarithm

first property

i) log (ab) = log a + log b

second property  

ii) [tex]log(\frac{a}{b} ) = log a - log b[/tex]

Third property

iii) [tex]log x^{n} = n log x[/tex]

Now given log7 +log7 - log7

                                           = log(7X7) - log7 ( used first property)

                                           = log(49)- log(7)

                                           = [tex]log(\frac{49}{7} )[/tex]        (used second property)

                                          = + log(7)

                                           

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