What is the answer to (6^p)/(6^5)=sqrt(6) ?

The answer to (6^p)/(6^5)=sqrt(6) is p= 11/2

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(6^p)/(6^5)=sqrt(6)

\frac{6 ^{p}}{6 ^{5}} = 6

p = \frac{11}{2}

Decimal Notation

p = 5.5

Solution steps

\frac{6 ^{p}}{6 ^{5}} = 6

Apply exponent rules

p - 5 = \frac{1}{2}

Solve

p - 5 = \frac{1}{2} : p = \frac{11}{2}

p = \frac{11}{2}

x, 9^{- x} = 81

0.98 = 1 - e^{- \frac{t}{0.1}}

4^{2 x} - 5 \cdot 4^{x + 2} + 1021 = 0

5^{3 x + 2} - 3 \cdot 5^{6 x + 2} - 100 = 0

3 \cdot 6^{x} = 4.5 (e^{2})^{x}

What is the answer to (6^p)/(6^5)=sqrt(6) ?
The answer to (6^p)/(6^5)=sqrt(6) is p= 11/2
Solve for p: (6^p)/(6^5)=sqrt(6)
The solution is p= 11/2