Question

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

step by step pls

Answer 1

Answer:

2

Step-by-step explanation:

Given expression:

$\log_82+3\log_82+\dfrac{1}{2}\log_816$

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

$\implies \log_82+\log_82^3+\log_816^{\frac{1}{2}$

Simplify:

$\implies \log_82+\log_88+\log_84$

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

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

$\implies \log_88+\log_88$

$\implies 2\log_88$

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

$\implies 2 \cdot 1$

$\implies 2$

Answer 2

Answer :

$\frac{21}{3}$

Explanation :

please look above for your answer .