Question

Identify the solution set of 3 ln 4 = 2 ln x

Answer 1

second question answer is B) {3}

Next is: 5

Next is: Since 0 in ln(3x) - 0 is not a logarithm, the property of logarithms cannot be used here.

The difference shown cannot be written as a quotient of logarithms.

The step ln(x2) = ln(3x) - (0) reduces to

ln(x2) = ln(3x).

The possible solutions are 0 and 3, with 0 being extraneous.

Explanation:

Answer 2

x = 8

Explanation:

3 ln 4 = 2 ln x

By using property of logarithm:

ln
`4^(3)` = ln
`x^(2)`

Cancel ln on both sides

`4^(3)` =
`x^(2)`

64 =
`x^(2)`

x =
`√(64)`

x = 8