Question

7log9(x+8)=7

Answer 1

Is 9 the base?

Answer 2

yeah

Answer 3

Divide both sides by 7

Answer 4

\[\log_{9}(x+8)=1 \]

Answer 5

Now put it into its exponential form.

Answer 6

\[9^1=x+8\]

Answer 7

\[x=1\]

Answer 8

another way to solve it is by power rule..

log_9 (x+8)^7 = 7

change to exponential form

9^7 = (x+8)^7

get the seventh root of both sides

9 = x+8
x = 9-8
x=1

whichever you find more comfortable :D

Answer 9

7log9(x+8)=7
-> log9(x+8)=7/7 =1
=> (x + 8) = 9
Thus x = 9 -8 = 1