What is the answer to 54(2)=2*3^x ?

The answer to 54(2)=2*3^x is x=(ln(54))/(ln(3))

Solve for x: 54(2)=2*3^x

The solution is x=(ln(54))/(ln(3))

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54 (2) = 2 \cdot 3^{x}

x = \frac{ln ( 54 )}{ln ( 3 )}

Decimal Notation

x = 3.63092 \dots

Solution steps

54 (2) = 2 \cdot 3^{x}

Switch sides

2 \cdot 3^{x} = 54 \cdot 2

Multiply the numbers:

54 \cdot 2 = 108

2 \cdot 3^{x} = 108

Divide both sides by

2

3^{x} = 54

Apply exponent rules

x ln (3) = ln (54)

Solve

x ln (3) = ln (54) : x = \frac{ln ( 54 )}{ln ( 3 )}

x = \frac{ln ( 54 )}{ln ( 3 )}

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

96 = 2^{x}

3^{x^{2} + 2 x + 6} = 2 7^{x + 4}

1 3^{x} = 21 3^{- x}

(27)^{x^{2}} = \frac{1}{9 ^{x}}

What is the answer to 54(2)=2*3^x ?
The answer to 54(2)=2*3^x is x=(ln(54))/(ln(3))
Solve for x: 54(2)=2*3^x
The solution is x=(ln(54))/(ln(3))