SOLUTION: 100(1.11)^(x/6)=400 I can't figure out how to enter this equation into my scientific calculator to get an answer of 79.70 (answer rounded to the nearest hundredth)

Question 202231: 100(1.11)^(x/6)=400
I can't figure out how to enter this equation into my scientific calculator to get an answer of 79.70 (answer rounded to the nearest hundredth)
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Remember loga^b = b*loga
.
100(1.11)^(x/6) = 400
.
1.11^(x/6) =4
.
log{1.11^(x/6) ) = log(4)
.
(x/6) * log(1.11) = log(4)
.
x/6 = log(4) /log(1.11) =13.2838
.
x=6*13.2838 = 79.7026
.
check
100(1.11)^(79.7026/6) = 400
400 = 400,,,ok
RELATED QUESTIONS
Square root of log[7]27 I can't figure out how to enter this problem into my... (answered by solver91311)

Could someone please explain to me how to find an answer using a calculator to solve this (answered by Edwin McCravy)

My problem is with entering e raised to a negative power on my TI-84 Plus calculator. I... (answered by Edwin McCravy)

Hello, I am trying to find an answer using the Log function on the Windows scientific... (answered by Theo)

Hello The answer to the following question is 26 but I'm trying to figure out how to set (answered by jim_thompson5910,ikleyn)

The time to wait for a particular rural bus is distributed unifromly from 0 to 75... (answered by stanbon)

I am trying to solve for a "to the power of x" equation using a scientific calculator. (answered by Earlsdon)

I can't seem to wrap my mind around how to round an equation at the end of a problem.... (answered by jim_thompson5910,checkley77,rapaljer)

how to put ((x^2)/81)-((y^2)/(-144/7))=1 into y equals form . i cannot figure out how... (answered by Fombitz)