Question

What value of x will make the following equation true? Log4(4^5x+1)=16•7/5•0•1/5•3(Picture for clarification)

Answer 1

Given:

There are given that expression:

`log_4\left(4^(5x+1)\right?=16`

Step-by-step explanation:

From the given log function:

`log_4(4^(5x+1))=16`

According to the log rule:

`5x+1=16`

Then,

`\begin{gathered} 5x+1=16 \\ 5x=16-1 \\ x=(15)/(5) \\ x=3 \end{gathered}`

Final answer:

Hence, the correct option is D.