Question

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

Teach me this one? I want to work on the next and will submit it once I have it done.
7 log9 (x + 8) = 7

Answer 1

`\\ \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`

Answer 2

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

Step-by-step explanation:

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

divide both sides by 7

`\rightarrow \sf (7\log _9\left(x+8\right))/(7)=(7)/(7)`

simplify the following

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

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

`\sf \rightarrow x+8 = 9^1`

simplify

`\sf \rightarrow x+8=9`

subtract both sides by 8

`\sf \rightarrow x=1`