Respuesta :

0Sad0Baby0Bunnies0

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Hi there!

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Answer:

[tex]= 7[/tex]

Step-by-step explanation:

[tex](log(10))(4) - (log(10))(2) + (log(10))(5)[/tex]

[tex]= (1)(4) - (log(10))(2) + (log(10))(5)[/tex]

[tex]= 4 - (log(10))(2) + (log(10))(5)[/tex]

[tex]= 4 - (1) (2) + (log(10))(5)[/tex]

[tex]= 4 - 2(log(10))(5)[/tex]

[tex]= 2 + (log(10))(5)[/tex]

[tex]= 2 + (1)(5)[/tex]

[tex]= 2 + 5[/tex]

[tex]= 7[/tex]

❀Hope this helped you!❀

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Answer:

1

Step-by-step explanation:

Using the rules of logarithms

logx + log y = log(xy)

logx - logy = log([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] b = 1

Given

[tex]log_{10}[/tex] 4 - [tex]log_{10}[/tex] 2 + [tex]log_{10}[/tex] 5

= [tex]log_{10}[/tex] ([tex]\frac{4}{2}[/tex] ) + [tex]log_{10}[/tex] 5

= [tex]log_{10}[/tex] 2 + [tex]log_{10}[/tex] 5

= [tex]log_{10}[/tex] (2 × 5)

= [tex]log_{10}[/tex] 10

= 1

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