Solve for x

Solve for x

Postby nycmath » Fri Aug 21, 2026 11:46 pm

See attachment.
Attachments
Screenshot_20260821_230846_Facebook.jpg
Screenshot_20260821_230846_Facebook.jpg (41.86 KiB) Viewed 13 times
nycmath
 
Posts: 436
Joined: Mon Aug 10, 2026 10:40 pm
Reputation: 7

Re: Solve for x

Postby Eigenvalue » Sat Aug 22, 2026 12:56 am

Rewrite all of the exponents as powers of 3

[tex]3^{2(2x+1)}[/tex]=([tex]3^{4(x-2)}[/tex])/([tex]3^{x}[/tex]

[tex]3^{4x+2}[/tex]=[tex]3^{3x-8 }[/tex]

4x+2=3x-8

x=-10

Eigenvalue
 
Posts: 202
Joined: Mon Aug 10, 2026 10:38 pm
Reputation: 86

Re: Solve for x

Postby nycmath » Sat Aug 22, 2026 4:12 pm

Eigenvalue wrote:Rewrite all of the exponents as powers of 3

[tex]3^{2(2x+1)}[/tex]=([tex]3^{4(x-2)}[/tex])/([tex]3^{x}[/tex]

[tex]3^{4x+2}[/tex]=[tex]3^{3x-8 }[/tex]

4x+2=3x-8

x=-10


You are amazing. There is no question at this level of math that trips you.

nycmath
 
Posts: 436
Joined: Mon Aug 10, 2026 10:40 pm
Reputation: 7


Return to Math Olympiads



Who is online

Users browsing this forum: No registered users and 1 guest