Question

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

Answer 1

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

Answer 2

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

Answer 3

x(log 5 - log 2)=log 5

Answer 4

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

Answer 5

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

Answer 6

Oh wow! Thanks! I totally love you!

Answer 7

then you may award me a medal or fan me

Answer 8

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

Answer 9

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

Answer 10

thanks to both of you!