I used to be able to calculate this when I was a student at UC. I was very good. Now, over 12 years later. Nope! If you don't go to the gym, the muscles shrink. I never encountered a reason to calculate logs. Physics a few times. Trig even more. Wet noodle.
8^x+8^x=100 8^x=50 x=log8(50) x=1.8812853966 (I guess we don't need more digits). 2*8^1.8812853966=100.000000001751951 (this should be accurate enough).
Some of your steps simple simpler than your final answer! .
lg50/lg8.
NOTE. There are complex roots too.
x=(log100-log2)/log8≈(2-0,3)/0,9≈17/9.
Absolute error is about 0,0076.
Watching and learning ❤❤
✌️♥️
I used to be able to calculate this when I was a student at UC. I was very good. Now, over 12 years later. Nope! If you don't go to the gym, the muscles shrink. I never encountered a reason to calculate logs. Physics a few times. Trig even more. Wet noodle.
2³x=50, x= 50/3 log2
Lo hiceeee
✌️♥️
8^x+8^x=100
8^x=50
x=log8(50)
x=1.8812853966 (I guess we don't need more digits).
2*8^1.8812853966=100.000000001751951 (this should be accurate enough).