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

1. Jhannybean

is 256 a power or multiplier?

2. anonymous

multiplier

3. Jhannybean

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

4. anonymous

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

5. anonymous

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

6. Jhannybean

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

7. anonymous

I have no idea what that means xD

8. Jhannybean

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

9. anonymous

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)

10. Jhannybean

Alright

11. Jhannybean

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

12. Jhannybean

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

13. anonymous

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

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