logarithms!

moe11

1. The problem statement, all variables and given/known data
12^x=4X8^(2x)

Big X= multiplication sign
little x= unknown

i simply cannot figure this out. Any help please?

2. Relevant equations
4.6X1.06^(2x+3)=5X3^(x)

Dick

Use logarithms! Isn't that your title? Take the log of both sides and use the rules of logarithms to simplify. What do you get?

moe11

i wouldnt post this if i could do it as easily as you said. Can you explain? Thats why i'm here.

Dick

log(12^x)=log(4*8^(2x)). That wasn't so hard. Now simplify it. Use rules of logarithms like, log(a*b)=log(a)+log(b), log(a^b)=b*log(a).

HallsofIvy

Your equation is 12[sup]x=(4)8[sup]2x[sup].

Since you titled this "logarithms", Dick assumed you knew some basic rules of logarithms. Take the logarithm of both sides: log(12^x= log((4)8[sup]2x[sup])

Now use the fact that log(ab)= log(a)+ log(b) and that log(a^x)= x log(a).