Question

Phillip is using logarithms to solve the equation 6^3x = 18. Which of the following equations would be equivalent to his original expression?

6 log 3x = log 18
3 log 6 = x log 18
x log 3 = 6 log 18
3x log 6 = log 18

Answer 1

3 log 6 = x log 18

Hope this helps.

Answer 2

Answer: 3x log 6 = log 18

Explanation:

Here, the given equation is,

`6^(3x) = 18`

Which is an exponential equation,

Generally, for solving an exponential expression, we take log for eliminating variable from the power.

Also, When we take any change in both sides of an expression then the new expression is equivalent to the expression.

By taking log on both side in the above,

`log(6)^(3x)=log 18`

`\implies 3x log (6) = log (18)` ( since,
`loga^b=bloga` )

Which is the required equivalent expression.

⇒ Fourth option is correct.