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Popular >

2^x-2^{x-2}=3

Solution

2^{x} - 2^{x - 2} = 3

Solution

x = 2

Solution steps

2^{x} - 2^{x - 2} = 3

Factor

2^{x} - 2^{x - 2} : 3 \cdot 2^{x - 2}

3 \cdot 2^{x - 2} = 3

Divide both sides by

3

2^{x - 2} = 1

Apply exponent rules

(x - 2) ln (2) = ln (1)

Solve

(x - 2) ln (2) = ln (1) : x = 2

x = 2

Popular Examples

4ln(sqrt(e^x))=26

4 ln (e^{x}) = 26

solvefor x,z=6e^{x^2y^3}solve for

x, z = 6 e^{x^{2} y^{3}}

sqrt(32)=8^{f+3}

32 = 8^{f + 3}

5^{3b-1}=5^{b-3}

5^{3 b - 1} = 5^{b - 3}

4^{3 x} = 8^{x + 5}

Frequently Asked Questions (FAQ)

What is the answer to 2^x-2^{x-2}=3 ?
The answer to 2^x-2^{x-2}=3 is x=2
Solve for x: 2^x-2^{x-2}=3
The solution is x=2