Answer to Q1432ˣ + 2ˣ⁻¹ = 6144. Find xThis is eqn i: 2ˣ + 2ˣ⁻¹ = 6144eqn i can be rewritten as:2ˣ + (2ˣ ÷ 2) = 6144 eqn ii2ˣ (1 + ½) = 61442ˣ (³⁄₂) = 6144 eqn iiidivide eqn iii through by ³⁄₂2ˣ = 6144 ÷ ³⁄₂2ˣ = 6144 x ⅔2ˣ = 4096logarithm rule comes in herelog⁴⁰⁹⁶ ÷ log² = xx = 12Answer: 12

Riddles Repository - Answers

Answer to Q143

2ˣ + 2ˣ⁻¹ = 6144. Find x

This is eqn i: 2ˣ + 2ˣ⁻¹ = 6144

eqn i can be rewritten as:
2ˣ + (2ˣ ÷ 2) = 6144 eqn ii

2ˣ (1 + ½) = 6144
2ˣ (³⁄₂) = 6144 eqn iii

divide eqn iii through by ³⁄₂
2ˣ = 6144 ÷ ³⁄₂
2ˣ = 6144 x ⅔
2ˣ = 4096

logarithm rule comes in here
log⁴⁰⁹⁶ ÷ log² = x
x = 12

Answer: 12

www.tg-me.com/ru/Riddles Repository Answers/com.RiddlesRepositoryAnswers/157

752 viewsSep 14, 2021 at 11:10

tg-me.com/RiddlesRepositoryAnswers/157

Create: 2021-09-14
Last Update: 2025-07-07 16:51:34

BY Riddles Repository - Answers

Warning: Undefined variable $i in /var/www/tg-me/post.php on line 283

Share with your friend now:
tg-me.com/RiddlesRepositoryAnswers/157

Riddles Repository Answers Telegram | DID YOU KNOW?

Telegram announces Search Filters

With the help of the Search Filters option, users can now filter search results by type. They can do that by using the new tabs: Media, Links, Files and others. Searches can be done based on the particular time period like by typing in the date or even “Yesterday”. If users type in the name of a person, group, channel or bot, an extra filter will be applied to the searches.