Solve for f 6^f=1/6

$6^{f} = \frac{1}{6}$

Step 1

Raise $6$ to the power of $1$ .

$6^{f} = \frac{1}{6^{1}}$

Step 2

Move $6^{1}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$6^{f} = 6^{- 1}$

Step 3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$f = - 1$