214k views
4 votes
What is the solution to 2log9(x)=log^9(8)+log9(x-2)

User Aja
by
7.9k points

2 Answers

3 votes

Answer:

C. x=4

Explanation:

User William Whyte
by
7.9k points
0 votes
2log9(x)=log^9(8)+log9(x-2)

Log₉x² = log₉8 + log₉(x-2)


Log₉x² = log₉(8×(x-2))

Log₉x² = log₉8x-16

Log₉x² - log₉8x-16 = 0

Log₉(x²/(8x-16)) = 0

x²/(8x-16) = 9°

x² = 1 × 8x-16

x²-8x+16 = 0

x²-4x-4x+16 = 0

x(x-4)-4(x-4) = 0

(x-4)(x-4) =0

Therefore x = 4.....
User Richard Watts
by
8.5k points

Related questions

asked May 20, 2024 118k views
Pup asked May 20, 2024
by Pup
7.5k points
1 answer
0 votes
118k views
asked Jun 13, 2020 137k views
MonikapatelIT asked Jun 13, 2020
by MonikapatelIT
8.5k points
1 answer
5 votes
137k views