Question

Barely learning this in school and not understanding it yet help

Answer 1

The answer is in the picture I hope that is right

Explanation:

Answer 2

`x=2184.67`

EXPLANATION

We want to solve the given equation for x:

`-3+8\log _9(3x+7)=29`

First, add 3 to both sides of the equation:

`\begin{gathered} -3+3+8\log _9(3x+7)=29+3 \\ 8\log _9(3x+7)=32 \end{gathered}`

Divide both sides by 8:

`\begin{gathered} (8)/(8)\log _9(3x+7)=(32)/(8) \\ \log _9(3x+7)=4 \end{gathered}`

Convert from a logarithmic equation to an exponential equation:

`\begin{gathered} \Rightarrow9^4=3x+7 \\ \Rightarrow3x+7=6561 \end{gathered}`

Subtract 7 from both sides of the equation:

`\begin{gathered} 3x+7-7=6561-7 \\ 3x=6554 \end{gathered}`

Divide both sides by 3:

`\begin{gathered} (3x)/(3)=(6554)/(3) \\ x=2184.67 \end{gathered}`

That is the value of x.