What is the answer to 6/((2^x))=45 ?

The answer to 6/((2^x))=45 is x=-(ln(15/2))/(ln(2))

Solve for x: 6/((2^x))=45

The solution is x=-(ln(15/2))/(ln(2))

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\frac{6}{( 2 ^{x} )} = 45

x = - \frac{ln ( \frac{15}{2} )}{ln ( 2 )}

Solution steps

\frac{6}{( 2 ^{x} )} = 45

Apply exponent rules

- x ln (2) = ln (\frac{15}{2})

Solve

- x ln (2) = ln (\frac{15}{2}) : x = - \frac{ln ( \frac{15}{2} )}{ln ( 2 )}

x = - \frac{ln ( \frac{15}{2} )}{ln ( 2 )}

Verify Solutions:

x = - \frac{ln ( \frac{15}{2} )}{ln ( 2 )}

True

The solution is

x = - \frac{ln ( \frac{15}{2} )}{ln ( 2 )}

60 = 5 (1 + \frac{0.025}{12})^{x}

2 5^{x} + 2 5^{x} = \frac{2}{5}

25 6^{4 x} = 6 4^{x + 3}

3^{x} = - \frac{2}{3}

4096 = (- 2)^{n}

What is the answer to 6/((2^x))=45 ?
The answer to 6/((2^x))=45 is x=-(ln(15/2))/(ln(2))
Solve for x: 6/((2^x))=45
The solution is x=-(ln(15/2))/(ln(2))