Question

Explain the process and the properties you have to use to solve the logarithmic equation: log(3)x + log(3)4 - 2 log(3)3 = 2

Answer 1

81/4

Explanation:

`log_(3)( \frac{4x}{{3}^(2) } ) = 2`

`{3}^(2) = \frac{4x}{ {3 }^(2) }`

9=4x/9

81=4×

x=81/4

adding logs means elements are multiplied, subtracting means divide. number in front of log is raised to power

base of log is raised to power of element after =

element in log is then equal to log base raised to power

solve resulting equation