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Popular >

4^x-4^{x-1}=24

Solution

4^{x} - 4^{x - 1} = 24

Solution

x = \frac{5}{2}

+1

Decimal Notation

x = 2.5

Solution steps

4^{x} - 4^{x - 1} = 24

Factor

4^{x} - 4^{x - 1} : 3 \cdot 4^{x - 1}

3 \cdot 4^{x - 1} = 24

Divide both sides by

3

4^{x - 1} = 8

Apply exponent rules

2 (x - 1) = 3

Solve

2 (x - 1) = 3 : x = \frac{5}{2}

x = \frac{5}{2}

Popular Examples

1 = x + e^{x}

409 6^{x} = 8

2^x*2^{3x-8}=16

2^{x} \cdot 2^{3 x - 8} = 16

16^x-5*2^{2x-1}+1=0

1 6^{x} - 5 \cdot 2^{2 x - 1} + 1 = 0

e^{x} + 1 = 4

Frequently Asked Questions (FAQ)

What is the answer to 4^x-4^{x-1}=24 ?
The answer to 4^x-4^{x-1}=24 is x= 5/2
Solve for x: 4^x-4^{x-1}=24
The solution is x= 5/2