What is the answer to 2^n=6 ?

The answer to 2^n=6 is n=(ln(6))/(ln(2))

The solution is n=(ln(6))/(ln(2))

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2^n=6

2^{n} = 6

n = \frac{ln ( 6 )}{ln ( 2 )}

Decimal Notation

n = 2.58496 \dots

Solution steps

2^{n} = 6

Apply exponent rules

n ln (2) = ln (6)

Solve

n ln (2) = ln (6) : n = \frac{ln ( 6 )}{ln ( 2 )}

n = \frac{ln ( 6 )}{ln ( 2 )}

4. 7^{9 x + 7} = 46

230 \cdot 1.01 5^{t} = 325

0 = 2^{x - 3} - 1

e^{0.5 x} = 3

x, 2^{x} = 4^{(7 - 2 y)}