What is the answer to 6=13^w ?

The answer to 6=13^w is w=(ln(6))/(ln(13))

The solution is w=(ln(6))/(ln(13))

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6=13^w

6 = 1 3^{w}

w = \frac{ln ( 6 )}{ln ( 13 )}

Decimal Notation

w = 0.69855 \dots

Solution steps

6 = 1 3^{w}

Apply exponent rules

ln (6) = w ln (13)

Solve

ln (6) = w ln (13) : w = \frac{ln ( 6 )}{ln ( 13 )}

w = \frac{ln ( 6 )}{ln ( 13 )}

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

12 (8)^{x + 1} = 24

(2^{x})^{5} = 2^{15}

1 5^{3 - 2 x} = 1

(2^{6 x + 3}) (4^{3 x + 6}) = 8^{4 x + 5}