What is the answer to 3sqrt(8^x)=65536 ?

The answer to 3sqrt(8^x)=65536 is x=(2ln(65536/3))/(3ln(2))

Solve for x: 3sqrt(8^x)=65536

The solution is x=(2ln(65536/3))/(3ln(2))

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3 8^{x} = 65536

x = \frac{2 ln ( \frac{65536}{3} )}{3 ln ( 2 )}

Decimal Notation

x = 9.61002 \dots

Solution steps

3 8^{x} = 65536

Apply exponent rules

x \frac{1}{2} ln (8) = ln (\frac{65536}{3})

Solve

x \frac{1}{2} ln (8) = ln (\frac{65536}{3}) : x = \frac{2 ln ( \frac{65536}{3} )}{3 ln ( 2 )}

x = \frac{2 ln ( \frac{65536}{3} )}{3 ln ( 2 )}

e^{x + 1} = 2^{x}

19450000 = 975 (1.76)^{x}

4^{5 x} = 4^{10}

9^{x + 2} + 3^{x + 3} - 810 = 0

(7^{4})^{x} = 7^{- 8}

What is the answer to 3sqrt(8^x)=65536 ?
The answer to 3sqrt(8^x)=65536 is x=(2ln(65536/3))/(3ln(2))
Solve for x: 3sqrt(8^x)=65536
The solution is x=(2ln(65536/3))/(3ln(2))