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alisha [4.7K]
1 year ago
8

Barely learning this in school and not understanding it yet help

Mathematics
2 answers:
omeli [17]1 year ago
8 0

Answer:

The answer is in the picture I hope that is right

Step-by-step explanation:

Lera25 [3.4K]1 year ago
5 0

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.

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