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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



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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

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What is Secret Chats of Telegram

Secret Chats are one of the service’s additional security features; it allows messages to be sent with client-to-client encryption. This setup means that, unlike regular messages, these secret messages can only be accessed from the device’s that initiated and accepted the chat. Additionally, Telegram notes that secret chats leave no trace on the company’s services and offer a self-destruct timer.

What is Telegram?

Telegram’s stand out feature is its encryption scheme that keeps messages and media secure in transit. The scheme is known as MTProto and is based on 256-bit AES encryption, RSA encryption, and Diffie-Hellman key exchange. The result of this complicated and technical-sounding jargon? A messaging service that claims to keep your data safe.Why do we say claims? When dealing with security, you always want to leave room for scrutiny, and a few cryptography experts have criticized the system. Overall, any level of encryption is better than none, but a level of discretion should always be observed with any online connected system, even Telegram.

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