Question

Barely learning this in school and not understanding it yet help

Answer 1

Answer:

The answer is in the picture I hope that is right

Step-by-step explanation:

Answer 2

ANSWER

$x=2184.67$

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:

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

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:

$\begin{gathered} \frac{3x}{3}=\frac{6554}{3} \\ x=2184.67 \end{gathered}$

That is the value of x.