Question

2㏒_[6](2)+3㏒_[6](3)+㏒_[6](12)

Answer 1

Answer: 4

Explanation:

Given:

`2log_62+3log_63+log_612`

Rewrite using the power property:

`log_62^2+log_63^3+log_612`

Rewrite by adding the logarithms together (multiplying) since they all have a common base of 6:

`log_6(2^2*3^3*12)`

Simplify by multiplying:

`log_6(4*27*12)`

`log_6(1,296)`

Evaluate the logarithm:

`log_6(1,296)`

4