Help please... I'm terrible at math can someone tell me the value of X and how to find it? This is the problem 5^(x-1)=2^x

Question

anonymous · Answer

$$5^{x-1}=2^x$$
take log of both side
$$\log 5^{x-1}=\log 2^x$$
pull out the exponent
$${x-1}\log 5=xlog 2$$

anonymous · Answer

xlog 5 -log5=xlog2
xlog 5-xlog2=log5

anonymous · Answer

x(log 5 - log 2)=log 5

anonymous · Answer

Thank you so much... but... what is X?

anonymous · Answer

divide both side by (log 5- log 2) then you would have x by itself

anonymous · Answer

Oh wow! Thanks! I totally love you!

anonymous · Answer

then you may award me a medal or fan me

anonymous · Answer

How do I do that? This is literally my first time...

shadowfiend · Answer

Click good answer on the right of their answer :) You can hover over their avatar to become a fan!

anonymous · Answer

thanks to both of you!