Substitute U for 3^x. Then convert radicals to exponents as others have, e.g., U^1/2 + U ^1/4, etc. U ^15/16 = 2 ^15. Take both sides to 16/15 th power. U = 2^16. Substitute back in: 3^x = 2^16. Take logs both sides and divide to get answer, x = 16 log 2/log 3.
@@superacademy247 We heard the baby in the background and babies need to be provided for which is mainly accomplished with money. It's not a love of money it's a respect of money to provide for your family. You are doing great work.
X=16(log2/log3).....May be Explain later....... As per question 3^{(x/2)+(x/4)+(x/8)+(x/16)=2^15 3^(15x/16)=2^15 {3^(x/16}^15=2^15 So, 3^(x/16)=2 Take the log log{3^(x/16)}=log2 (X/16).log3=log2 (X/16)=log2/log3 X=16{log2/log3}
Easier just to square both sides until all the roots disappear and you get y=3^x, and y^15=(2^15)^16. The answer from here is straightforward.
Substitute U for 3^x. Then convert radicals to exponents as others have, e.g., U^1/2 + U ^1/4, etc. U ^15/16 = 2 ^15. Take both sides to 16/15 th power. U = 2^16. Substitute back in: 3^x = 2^16. Take logs both sides and divide to get answer, x = 16 log 2/log 3.
1/2 min vs 15.3 min. but money
1 Timothy 6:10 KJV- For the love of money is the root of all evil. Happy new year 🎄🥳🎉🎁
@@superacademy247 We heard the baby in the background and babies need to be provided for which is mainly accomplished with money. It's not a love of money it's a respect of money to provide for your family. You are doing great work.
Thanks for your support and kind words. You're spot on 🙏👌
X=16(log2/log3).....May be
Explain later.......
As per question
3^{(x/2)+(x/4)+(x/8)+(x/16)=2^15
3^(15x/16)=2^15
{3^(x/16}^15=2^15
So,
3^(x/16)=2
Take the log
log{3^(x/16)}=log2
(X/16).log3=log2
(X/16)=log2/log3
X=16{log2/log3}
x = 16 log 2/log 3
3^((15/16)*x)=2^15 , 3^((15/16)*x)=3^((ln2/ln3)*15) , (15/16)*x=(ln2/ln3)*15 , x=(ln2/ln3)*15/(15/16) , x=(ln2/ln3)*16 ,
test , 3^((15/16)*x)=~ 32768 , 2^15=32768 , same , OK ,