Question

Log8 2 + 3log8 2 + 1/2log8 16

step by step pls

Answer 1

Answer :

`(21)/(3)`

Explanation :

please look above for your answer .

Answer 2

2

Explanation:

Given expression:

`\log_82+3\log_82+(1)/(2)\log_816`

`\textsf{Apply the Power law}: \quad n\log_ax=\log_ax^n`

`\implies \log_82+\log_82^3+\log_816^{(1)/(2)`

Simplify:

`\implies \log_82+\log_88+\log_84`

`\textsf{Apply the Product law}: \quad \log_ax + \log_ay=\log_axy`

`\implies \log_88+\log_8(2 \cdot 4)`

`\implies \log_88+\log_88`

`\implies 2\log_88`

`\textsf{Apply log law}: \quad \log_aa=1`

`\implies 2 \cdot 1`

`\implies 2`