Question

solve 3^x=5^(x+2)

Answer 1

Hi babyg8trgrl :)

How are you dear?

Answer 2

You have to take log on both sides of the equation.

Answer 3

im doing good i just dont understand this

Answer 4

\[\Large 3^x=5^{x+2}\]
\[\Large log(3^x)=log(5^{x+2})\]
\[\Large xlog(3)=(x+2)log(5)\]
\[\Large x(0.477)=(x+2)(0.7)\]
\[\Large 0.477x=0.7x+1.4\]
\[\Large 0.477x-0.7x=1.4\]
Now can you solve from here if I left it?

Answer 5

would i just slove for x?

Answer 6

Yes dear.

Answer 7

i got x=-6.278 is that right??

Answer 8

Let me check dear.

Answer 9

Congratulation. You have done it. :D

Answer 10

yay! thank you so much!

Answer 11

You are ever welcome dear. :p