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Popular >

3^x+2*3^{x-1}=45

Solution

3^{x} + 2 \cdot 3^{x - 1} = 45

Solution

x = 3

Solution steps

3^{x} + 2 \cdot 3^{x - 1} = 45

Factor

3^{x} + 2 \cdot 3^{x - 1} : 5 \cdot 3^{x - 1}

5 \cdot 3^{x - 1} = 45

Divide both sides by

5

3^{x - 1} = 9

Apply exponent rules

x - 1 = 2

Solve

x - 1 = 2 : x = 3

x = 3

Popular Examples

ln (e^{- x}) = 3

(1 0^{x})^{1 - x} = 1

5^{\frac{1}{3}} \cdot 5^{x} = 5

9^{x+2}=9^x+240

9^{x + 2} = 9^{x} + 240

e^{2 - 4 x} = 5

Frequently Asked Questions (FAQ)

What is the answer to 3^x+2*3^{x-1}=45 ?
The answer to 3^x+2*3^{x-1}=45 is x=3
Solve for x: 3^x+2*3^{x-1}=45
The solution is x=3