Question

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?

Answer 1

1.404

Explanation:

Given:

`\log_43 \approx 0.792`

`\log_421 \approx 2.196`

`\log_421 =\log_4(3 * 7)=\log_43+\log_47`

`\implies 2.196\approx 0.792+\log_47`

`\implies \log_47 \approx 2.196-0.792`

`\implies \log_47 \approx 1.404`