Question

5log(base of)3(x)-2=8

Answer 1

\[5\log _{3}(x)-2=8\]

Answer 2

Thats what it should look like

Answer 3

\[5\log_{3}x-2=8 \]...yes. What's the first thing you'd do to simplify this equation?

Answer 4

What I did was, \[(3^{5)^{8}}=x-2\]

Answer 5

I'm not sure if that is correct

Answer 6

And after that, I'm stuck

Answer 7

You have:\[5\log_{3}x-2=8\]...
Do you mean 5(log to the base 3 of) x - 2 = 8

or

do you mean 5(log to the base 3 of) (x-2)?

Answer 8

I'm not sure of what you are asking. The question is 5log(base of 3)(x)-2=8

Answer 9

All right. The reason I've asked that question is that your expression has -2=8 on the right, and this can be simplified by adding 2 to both sides. Do that, please. Write out the whole equation, please.

Answer 10

\[5\log _{3}x=11\] Like so?

Answer 11

You have\[5\log _{3}x=11\]

Answer 12

Mind explaining how you got that 11?

Answer 13

Yes. I did as you said with the -2 = 8 and added the 2 on each side

Answer 14

I then end up with. \[(3^{5)^{11}}=x\]

Answer 15

When I rearrange

Answer 16

Any input?

Answer 17

Don't be offended, but again I ask you to check your arithmetic. Adding 2 to both sides of your original equation results in what?

Answer 18

Oh my. Right as you said that I realised my 8 is not a 9. So I have been adding 2 to 9 not 2 to 8. So yes the correct equation would be \[5\log _{3}x=10 --- (3^{5)^{10}}=x\]

Answer 19

\[5\log _{3}x=10~ can be reduced ... think about how you'd do that. Leave the \log alone for now\]

Answer 20

5 to the base 3 of x equals 10. Reduce. How?

Answer 21

I'm not quite sure. Would the 5 go in to the 10 twice? to equal Base 3 of x equals 2

Answer 22

You're making the problem unnecessarily difficult.

Divide the last equation by 5, both sides. What do you get?

Answer 23

cancels out on one side and 2 on the other

Answer 24

And your result?

Answer 25

\[3^{x}=2\]

Answer 26

...\[5\log _{3}x=10\]

Answer 27

Please try again: divide both sides by 2. Please don't skip steps in this procedure.

Answer 28

Why am I diving both sides by 2 where did the 2 come from

Answer 29

Sorry, mea culpa. Divide both sides of this equation by 5, to isolate the logarithmic expression.

Answer 30

10 divided by 5 is 2, there fore i get \[\log _{3}x=2\]

Answer 31

Now that's it. Right.

This is a logarithmic equation. What is the base? How could you convert this to an exponential function / equation?

Answer 32

Okay, thank you I got the end result of 9.

Answer 33

Happy to help. You might want to go back and check your result, 9, into the original eq'n, to be certain that it's correct.

Answer 34

Okay thanks :)