What is the answer to 6^n=18 ?

The answer to 6^n=18 is n=(ln(18))/(ln(6))

The solution is n=(ln(18))/(ln(6))

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6^n=18

6^{n} = 18

n = \frac{ln ( 18 )}{ln ( 6 )}

Decimal Notation

n = 1.61314 \dots

Solution steps

6^{n} = 18

Apply exponent rules

n ln (6) = ln (18)

Solve

n ln (6) = ln (18) : n = \frac{ln ( 18 )}{ln ( 6 )}

n = \frac{ln ( 18 )}{ln ( 6 )}

1 6^{3 - a} = 3 2^{a - 1}

3^{x} = 4^{x + 1}

e^{x} = x + 2

3^{n} = 3.75

e^{x} = - 7