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REY [17]
23 days ago
3

Solve each logarithmic equation. Round your answer to two decimal places.

Mathematics
2 answers:
Nadusha1986 [10]23 days ago
6 0

\\ \rm\Rrightarrow 7log_9(x+8)=7

\\ \rm\Rrightarrow log_9(x+8)=1

\\ \rm\Rrightarrow x+8=9^1

  • a^1=a

\\ \rm\Rrightarrow x+8=9

\\ \rm\Rrightarrow x=9-8

\\ \rm\Rrightarrow x=1

madreJ [45]23 days ago
5 0

Answer:

\sf \boxed{\bold{x=1}}

Explanation:

\rightarrow \sf 7 log_9 (x + 8) = 7

<u>divide both sides by 7</u>

\rightarrow \sf \dfrac{7\log _9\left(x+8\right)}{7}=\dfrac{7}{7}

<u>simplify the following</u>

\sf \rightarrow  \log _9\left(x+8\right)=1

<u>apply log rules</u>                   \underline{The \ rule}: \ \bold{log_{b} (a)= c}  \ \ \Longrightarrow \sf a = b^c

\sf \rightarrow x+8 = 9^1

<u>simplify</u>

\sf \rightarrow x+8=9

<u>subtract both sides by 8</u>

\sf \rightarrow x=1

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