OpenStudy (whpalmer4):

Yes, it should be, because I obtain one the those answer :-)Do you remember the residential or commercial property of logs that states ? You have the right to use the to settle this difficulty by acquisition the log in of both sides and also using the property.

You are watching: Solve 15 2x = 36. round to the nearest ten-thousandth.

7 year ago
OpenStudy (whpalmer4):

That means<2x log 15 = log 36>Now just solve for (x) and put the calculator to work

7 year ago
OpenStudy (anonymous):

Yes

7 year ago
OpenStudy (anonymous):

x=270 ?

7 year ago
OpenStudy (anonymous):

Ik it"s wrong you re welcome let me explain ...

7 years ago
OpenStudy (anonymous):

was I an alleged to execute 36*15 ?

7 year ago
OpenStudy (whpalmer4):

<2x log 15 = log 36>Divide both political parties by (log 15) to get<2x = fraclog 36log 15>Can you carry out the rest? The price had much better be much less than 1, because if (x =1), climate (15^2x = 15^2 = 225) i m sorry is much bigger than 36!

7 years ago
OpenStudy (anonymous):

I got 1.323283792

7 year ago
OpenStudy (whpalmer4):

in fact, you could work it out in your head close sufficient to acquire the best answer!hmm. That"s 2x the appropriate answer...did girlfriend remember to division by that 2 in prior of (x)?

7 year ago
OpenStudy (whpalmer4):

So, you can estimate this together follows:<15^2x = 36><15^x*15^x = 36><15^x = sqrt36><15^x = 6><15^1/2 = sqrt15 approx sqrt16 = 4>so it needs to be bigger 보다 1/2 and also smaller 보다 1. You could try 2/3:<15^2/3 = sqrt<3>15^2>and due to the fact that <15^2 = 225> and <6^3 = 216>that means that <15^2/3approx 6>and the guess: v of (x = 2/3) is quite close!

7 years ago
OpenStudy (whpalmer4):

or, if you"re favor me, and memorized a grasp of logarithms:<15^2x = 36>but <36=6^2 = 2^2*3^2>so and so our answer is just favor you got, except without a calculator (except to execute the division)

7 year ago  