Question

3 2^x = 6 5^x solve for x

Answer 1

simplify first by dividing both sides by 3:
2^x =2* 5^x
now taks logs:
ln 2^x = ln 2 + ln 5^x
by laws of logs
x ln 2 = ln 2 + x ln 5
can you continue from here

Answer 2

just think of ln 2 and ln 5 as numbers (which they are)
so
- ln 2 =( ln 5 - ln 2) x
x = - ln 2 / (ln 5 - ln 2)

Answer 3

(ln6-ln3)/(ln2-ln5)

Answer 4

how do you get ln2 on top?

Answer 5

right - thats basically what i have

Answer 6

hows does ln6-ln3 = ln2

Answer 7

i'm dividing both sides by ( ln5 - ln2)

Answer 8

ln6 - ln3 = ln 6/3

Answer 9

oh i get it

Answer 10

thank you

Answer 11

yw