What is the answer to 2^3=3^x ?

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

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

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2^3=3^x

2^{3} = 3^{x}

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

Decimal Notation

x = 1.89278 \dots

Solution steps

2^{3} = 3^{x}

Apply exponent rules

3 ln (2) = x ln (3)

Solve

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

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

(\frac{1}{6})^{x} - 13 = 64

3^{x} = 54

3^{x} = 50

2^{x + 2} + 2^{x} = 2^{2}

3^{a} = - 1