What is the answer to 3^x=64 ?

The answer to 3^x=64 is x=(6ln(2))/(ln(3))

The solution is x=(6ln(2))/(ln(3))

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3^x=64

3^{x} = 64

x = \frac{6 ln ( 2 )}{ln ( 3 )}

Decimal Notation

x = 3.78557 \dots

Solution steps

3^{x} = 64

Apply exponent rules

x ln (3) = ln (64)

Solve

x ln (3) = ln (64) : x = \frac{6 ln ( 2 )}{ln ( 3 )}

x = \frac{6 ln ( 2 )}{ln ( 3 )}

2^{x - 3} = 8

2^{3 x + 2} - 2^{3 x - 2} = 30

4^{x - 1} = 3^{2 x}

3^{x + 2} + 3^{x + 1} + 3^{x} + 3^{x - 1} = 120

9^{x} - 7 \times 3^{x} - 18 = 0