Question

What is the solution of log(2x – 6) 256 = 4? I just want to know how to do this.

Answer 1

is 256 a power or multiplier?

Answer 2

multiplier

Answer 3

So your problem is: \(256\log(2x-6)=4\) ?

Answer 4

Oh wait xD... my problem is like...

Answer 5

\[\log_{2x-6} 256 = 4\]

Answer 6

okay. remember the log rule: \(\large \log_x b=a \implies x^a=b\)

Answer 7

I have no idea what that means xD

Answer 8

\[\log_{(2x-6)}256 = 4 \implies (2x-6)^4 = 256\] Do you see how the formula works?

Answer 9

Yes, but how do I change that to the answer? (The answer is x = 5, I took the test, I just wanna know how to do it)

Answer 10

Alright

Answer 11

to get rid of the 4rth power, you take the 4rth root from both sides o the equation.

Answer 12

\[(2x-6)^4=256\]\[\sqrt[4]{(2x-6)^4} = \sqrt[4]{256}\]\[2x-6=4\]\[2x=10\]\[x=5\]

Answer 13

Thank you, thats all i wanted haha, I already gave u a medal