Question

Solve 3(5)^(2x-3)=6

Answer 1

divide by 3 to both sides then take the natural log of both sides.

Answer 2

divide ln5 to both sides so you now have:
2x-3 = 2/(ln5)

can you take it from here?

Answer 3

Possibly =) Is my next step: 4x-6=(ln5)

Answer 4

@dpaInc

Answer 5

no.. just solve for x... add 3 to both sides...

Answer 6

2x= 2/(ln5)+3

Answer 7

yep... now get rid of that 2 on the left by multiplying 1/2 to both sides... :)

Answer 8

what do you get?

Answer 9

x= 1/(ln2.5)+1.5??

Answer 10

why did the 5 change to 2.5? it doesn't...

Answer 11

other than that, your answer is good....

Answer 12

Okay so: x= 1/(ln5)+1.5
Which leads to: x=1/0.698970004 + 1.5

Answer 13

yeah... just use x= 1/(ln5)+1.5 as the exact form.
put it in your calculator for an approximation... if you want.

Answer 14

When I round it to the nearest hundredth I get 2.93 =)

Answer 15

lemme check...

Answer 16

hmm. i got 2.121

Answer 17

I probably misentered something =)

Answer 18

no.. i see an error above..

Answer 19

Did I enter a step wrong?

Answer 20

no... i did.. :( sorry
but it's easily correctable...

Answer 21

No problem at all! I am glad you caught it =)

Answer 22

actually it occurred in my first post.. "take the natural log of both sides"

Answer 23

so this is what we should've gotten:
2x-3 = ln2/(ln5)

Answer 24

doing the same algebra:
2x = ln2/ln5 + 3
x = (1/2)*(ln2/ln5 + 3)

Answer 25

ok.. let's try that again... punch that into your calculator...

Answer 26

i got x=1.715
and i put this value back into the original equation and it works out.... :)

Answer 27

Thats exactly what I got! =) Except I rounded to the hundredth to get 1.72 =)

Answer 28

good job swim!:)

Answer 29

Thank you!! =) Would you mind helping me with two more?

Answer 30

no.....




































i don't mind.... :)