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

What Value Of X Will Make The Following Equation True Log445x116750153Picture For Clarification class=

Sagot :

Given:

There are given that expression:

[tex]log_4\left(4^{5x+1}\right?=16[/tex]

Explanation:

From the given log function:

[tex]log_4(4^{5x+1})=16[/tex]

According to the log rule:

[tex]5x+1=16[/tex]

Then,

[tex]\begin{gathered} 5x+1=16 \\ 5x=16-1 \\ x=\frac{15}{5} \\ x=3 \end{gathered}[/tex]

Final answer:

Hence, the correct option is D.

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