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Popular >

4^x-4^{x-1}=6

Solution

4^{x} - 4^{x - 1} = 6

Solution

x = \frac{3}{2}

+1

Decimal Notation

x = 1.5

Solution steps

4^{x} - 4^{x - 1} = 6

Factor

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

3 \cdot 4^{x - 1} = 6

Divide both sides by

3

4^{x - 1} = 2

Apply exponent rules

2 (x - 1) = 1

Solve

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

x = \frac{3}{2}

Popular Examples

3^{2 y + 3} = 27

3 6^{2 x - 1} = 6^{3}

4^{x-1}=(1/4)^{2x}

4^{x - 1} = (\frac{1}{4})^{2 x}

4^{4x^2}= 1/(16^{2x-3)}

4^{4 x^{2}} = \frac{1}{1 6 ^{2 x - 3}}

4/21 =e^{-203t}

\frac{4}{21} = e^{- 203 t}

Frequently Asked Questions (FAQ)

What is the answer to 4^x-4^{x-1}=6 ?
The answer to 4^x-4^{x-1}=6 is x= 3/2
Solve for x: 4^x-4^{x-1}=6
The solution is x= 3/2