What is the answer to 2(3)^x=8 ?

The answer to 2(3)^x=8 is x=(2ln(2))/(ln(3))

Solve for x: 2(3)^x=8

The solution is x=(2ln(2))/(ln(3))

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2 (3)^{x} = 8

x = \frac{2 ln ( 2 )}{ln ( 3 )}

Decimal Notation

x = 1.26185 \dots

Solution steps

2 (3)^{x} = 8

Divide both sides by

2

3^{x} = 4

Apply exponent rules

x ln (3) = ln (4)

Solve

x ln (3) = ln (4) : x = \frac{2 ln ( 2 )}{ln ( 3 )}

x = \frac{2 ln ( 2 )}{ln ( 3 )}

3 \cdot 4 e^{2 - 2 x} + 1 = 4

4^{x^{2}} = 2^{8 x - 8}

4^{2 x + 1} = 8^{1 - x}

3^{x} + 1 = 0

1 2^{x} = 8