2(10^x)=14? help solve equation

Question

tkhunny · Answer

Have you considered dividing by 2 and introducing a logarithm?

anonymous · Answer

No I haven't missed a lot of class recently but thanks for pointing me in the right direction!

anonymous · Answer

2*10=20. plug that in:

20^x=14
divide by 2

10^x=7

and if i am not mistaken the log would be:

log(10)7=x......@tkhunny correct me if im wrong

parthkohli · Answer

Uh, the answer is right, but the method is pretty wrong.

parthkohli · Answer

I mean, you should divide both sides by 2 and then introduce that logarithm.

tkhunny · Answer

No, "2*10" is not appropriate for this problem,  Oddly, though, 10^x = 7 is correct.

anonymous · Answer

correct it up haha. its been a while since ive done that. based on what youre saying, i kinda took the round about way of doing it. well @tkhunny basically the 2*10 is doing the same thing, because the whole thing is eventually divided by 2 in the end. like i said i just kinda took the round about way of doing it

parthkohli · Answer

...Eh?

tkhunny · Answer

No.  That is just no good.  It is only by luck that you ended up in the right place.

parthkohli · Answer

So you're saying that $2 \times 5^3$ is $\dfrac{10^3}{2}$

anonymous · Answer

@ParthKohli huh? where is that 5^3 coming from?

parthkohli · Answer

I was just giving an example why your method is fallacious.

parthkohli · Answer

:-)

anonymous · Answer

haha ok, welll i will trust you then, i am bowing out my friends