SOLUTION: I do believe this is an exponential equation. Not sure how to solve using the calculator TI-84 or by hand. Your help would be appreciated. Thank you. TJ 5*6^4x+3-15=20

Algebra ->  Equations -> SOLUTION: I do believe this is an exponential equation. Not sure how to solve using the calculator TI-84 or by hand. Your help would be appreciated. Thank you. TJ 5*6^4x+3-15=20       Log On


   

Question 312696: I do believe this is an exponential equation. Not sure how to solve using the calculator TI-84 or by hand. Your help would be appreciated. Thank you. TJ
5*6^4x+3-15=20 the ^ represents the exponent 4x+3 above the 6
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I'm presuming you mean:



Add 15 to both sides and divide both sides by 5:



Take the log of both sides -- but to which base? Actually, in the final analysis, it doesn't matter. The only thing that could possibly influence your decision would be if you have a calculator that can find the log to ANY valid base. I don't know if the TI-84 will do that or not. MS Excel will do it if you know how. Assuming that you only have ln and log (base 10) available, pick one and proceed:



Use:





Divide by



Add -3 and divide by 4:



Is the exact answer -- use your calculator for a numeric approximation.

Now if you actually have the ability to take the log to any base, you can take the base 6 log, thus:





But , so:





A somewhat simpler calculation.

John