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

Question

jhannybean · Answer

is 256 a power or multiplier?

anonymous · Answer

multiplier

jhannybean · Answer

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

anonymous · Answer

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

anonymous · Answer

$$\log_{2x-6} 256 = 4$$

jhannybean · Answer

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

anonymous · Answer

I have no idea what that means xD

jhannybean · Answer

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

anonymous · Answer

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)

jhannybean · Answer

Alright

jhannybean · Answer

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

jhannybean · Answer

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

anonymous · Answer

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