Question

What is the solution to the equation below? Round your answer to two decimal places.log5 x = 2.1A.x = 29.37B.x = 10.50C.x = 8.17D.x = 40.84

Answer 1

Solve the expression below:

`log_5(x)=2.1`
`\begin{gathered} log_5(x)=2.1 \\ add\text{ log to base 5 to the other side} \\ log_5(x)=log_55^(2.1) \end{gathered}`

Cancel log to base 5 on both side of the expression

`\begin{gathered} log_5x=log_55^(2.1) \\ x=5^(2.1) \\ x=29.36547 \\ x=29.37\text{ \lparen2d.p\rparen} \end{gathered}`

Hence the correct answer = Option A