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Given log Subscript 4 Baseline 3 almost-equals 0. 792 and log Subscript 4 Baseline 21 almost-equals 2. 196, what is log Subscript 4 Baseline 7?

Sagot :

semsee45

Answer:

1.404

Step-by-step explanation:

Given:

[tex]\log_43 \approx 0.792[/tex]

[tex]\log_421 \approx 2.196[/tex]

[tex]\log_421 =\log_4(3 \times 7)=\log_43+\log_47[/tex]

[tex]\implies 2.196\approx 0.792+\log_47[/tex]

[tex]\implies \log_47 \approx 2.196-0.792[/tex]

[tex]\implies \log_47 \approx 1.404[/tex]

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