Question

What is 2(log3(8) + log3(z)) - log3(3^4 - 7^2) written as a simple logarithm?

Answer 1

the answer is

B on edge

Answer 2

log₃(2z²)

Explanation:

2(log₃8 + log₃z) - log₃(3⁴ - 7²)

= 2[log₃(2³) + log₃z] - log₃(81 - 49)

= 2(3log₃2 + log₃z) - log₃(32)

= 6log₃2 + 2log₃z - log₃(2⁵)

= 6log₃2 + 2log₃z - 5log₃2

= log₃2 + log₃(z²)

= log₃(2z²)