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Popular >

2^x+2^{x-1}=48

Solution

2^{x} + 2^{x - 1} = 48

Solution

x = 5

Solution steps

2^{x} + 2^{x - 1} = 48

Factor

2^{x} + 2^{x - 1} : 3 \cdot 2^{x - 1}

3 \cdot 2^{x - 1} = 48

Divide both sides by

3

2^{x - 1} = 16

Apply exponent rules

x - 1 = 4

Solve

x - 1 = 4 : x = 5

x = 5

Popular Examples

e^{2} x - e^{x} = 56

4^{7x-3}=5^{2x+9}

4^{7 x - 3} = 5^{2 x + 9}

74=(10+250(0.6)^t)/8

74 = \frac{10 + 250 ( 0.6 ) ^{t}}{8}

e^{x} = \frac{1}{x}

(2/5)^x= 32/3125

(\frac{2}{5})^{x} = \frac{32}{3125}

Frequently Asked Questions (FAQ)

What is the answer to 2^x+2^{x-1}=48 ?
The answer to 2^x+2^{x-1}=48 is x=5
Solve for x: 2^x+2^{x-1}=48
The solution is x=5