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A teacher used the change of base formula to determine whether the equation below is correct. (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = 3 Which statement explains whether the equation is correct?

A teacher used the change of base formula to determine whether the equation below is correct log Subscript 2 Baseline 10 log Subscript 4 Baseline 8 log Subscrip class=
A teacher used the change of base formula to determine whether the equation below is correct log Subscript 2 Baseline 10 log Subscript 4 Baseline 8 log Subscrip class=
A teacher used the change of base formula to determine whether the equation below is correct log Subscript 2 Baseline 10 log Subscript 4 Baseline 8 log Subscrip class=

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lucic

The equation is correct because log 10/log 2 * log 8/log 4 *log 4/log 10 = log 8/log 2 = 3

Step-by-step explanation:

According to the change of base formula,

[tex]log_b x=\frac{logx}{logb}[/tex]

Here you pick a new base, then it is equal to the log of the number in the new base divided by the log of the old base in the new base.

The question can be written as;

[tex]\frac{log 10}{log 2} *\frac{log 8}{log 4} *\frac{log 4}{log 10} =3[/tex]

Cancelling similar terms

[tex]\frac{log 8}{log 2} =3\\\\\\\frac{log 2^{3} }{log 2^1} \\\\\\\frac{3 log 2}{1 log 2} \\\\=3[/tex]

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Change of base formula : https://brainly.com/question/2141478

Keywords : formula, change of base, equation

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Answer:

Its the second one

Step-by-step explanation:

just got it right on edg2020

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