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Popular >

3^x+3^{x-1}=4

Solution

3^{x} + 3^{x - 1} = 4

Solution

x = 1

Solution steps

3^{x} + 3^{x - 1} = 4

Factor

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

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

Divide both sides by

4

3^{x - 1} = 1

Apply exponent rules

(x - 1) ln (3) = ln (1)

Solve

(x - 1) ln (3) = ln (1) : x = 1

x = 1

Popular Examples

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0. 8^{x} = \frac{5}{4}

solvefor x,y=e^x(y-2)solve for

x, y = e^{x} (y - 2)

2 x e^{- x^{2}} = 0

580000=290000(0.0225)^x

580000 = 290000 (0.0225)^{x}

Frequently Asked Questions (FAQ)

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