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Popular >

2^{x-1}=1024^x

Solution

2^{x - 1} = 102 4^{x}

Solution

x = - \frac{1}{9}

+1

Decimal Notation

x = - 0.11111 \dots

Solution steps

2^{x - 1} = 102 4^{x}

Apply exponent rules

x - 1 = 10 x

Solve

x - 1 = 10 x : x = - \frac{1}{9}

x = - \frac{1}{9}

Popular Examples

4^{x + 2} = 8^{x}

3^{2x}-3^{2x-1}=18

3^{2 x} - 3^{2 x - 1} = 18

4^x-2^{x+1}-8=0

4^{x} - 2^{x + 1} - 8 = 0

5 e^{7 x} = 3215

5^{2m+2}-10(5^m)=3

5^{2 m + 2} - 10 (5^{m}) = 3

Frequently Asked Questions (FAQ)

What is the answer to 2^{x-1}=1024^x ?
The answer to 2^{x-1}=1024^x is x=-1/9
Solve for x: 2^{x-1}=1024^x
The solution is x=-1/9