Could someone help me solve this please?
It's about the practical application of logarithms and those are meant to be compound interest rates. Basically when will the returns from one eclipse the other.
Thanks a lot.
153*1.155^x = 83*1.183^x
1.843*1.155^x = 1.183^x
1.843=1.183^x/1.155^x
1.843=1.024^x
ln(1.843)/ln(1.024)=x
25.78=x
>>346981
Where's the random 1.843 from?
Also, could you try this one too?
>332 x (1.195)^x = 300 x (1.255)^x
>>346983
153/83, you eliminate the two constants first so you only have one left.
>>346983
Also that one works exactly the same way the first one did.
-Divide constants
-Put both ^x terms to one side by division
-a^x * b^x = (a/b)^x
-use log on both sides
-divide so x is alone on one side
-calculate.
>>346988
*a^x / b^x = (a/b)^x of course
>>346988
So what's the answer to the second one? I've got one written down but I think it's wrong. I got over 2 years.
>>346948
>It's about the practical application of logarithms
153 X 1.155^x = 83 X 1.183^x
log (153 X 1.155^x) = log (83 X 1.183^x)
log 153 X xlog 1.155 = log 83 X xlog1.183