Question

2^x-3 = 1 find the value of x​

Answer 1

Answer:

x=2

Step-by-step explanation:

using transportation

2^x=1+3=4

2^x=4

x=4/2=2

Answer 2

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★ Sᴏʟᴜᴛɪᴏɴ :-

⇒ 2ˣ ⁻ ³ = 1

⇒ 2ˣ⁻³ = 2⁰

[∵ a⁰ = 1 ➛ 2⁰ = 1 ]

⇒ x - 3 = 0

[∵ aⁿ = aᵐ ➛ m = n]

⇒ x = 3

Hence , x = 3

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★ VᴇʀɪFcaᴛɪᴏɴ :-

Substituting the value of x , if LHS = RHS our answer is correct.

➠ 2ˣ⁻³ = 1

Taking LHS & substituting the value of x

➠ 2³⁻³

➠ 2⁰

➠ 1

Now, comparing with RHS

LHS = RHS

Hence , verified !

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Mᴏʀᴇ IɴFᴏʀMaᴛɪᴏɴ :-

More exponents & powers formulae.

➽ aᵐ × aⁿ = aᵐ⁺ⁿ

➽ aᵐ ÷ aⁿ = aᵐ⁻ⁿ

➽ ( a/b )ⁿ = aⁿ/bⁿ

➽ a⁰ = 1

➽ ( aⁿ )ᵐ = aⁿᵐ

➽ 1/aⁿ = a⁻ⁿ

➽ ( ab )ⁿ = aⁿ × bⁿ

➽ aᵐ/aⁿ = 1/aⁿ⁻ᵐ

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