What is the answer to (100)/(2^x)=1 ?

The answer to (100)/(2^x)=1 is x=(2ln(10))/(ln(2))

Solve for x: (100)/(2^x)=1

The solution is x=(2ln(10))/(ln(2))

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\frac{100}{2 ^{x}} = 1

x = \frac{2 ln ( 10 )}{ln ( 2 )}

Decimal Notation

x = 6.64385 \dots

Solution steps

\frac{100}{2 ^{x}} = 1

Apply exponent rules

- x ln (2) = ln (\frac{1}{100})

Solve

- x ln (2) = ln (\frac{1}{100}) : x = \frac{2 ln ( 10 )}{ln ( 2 )}

x = \frac{2 ln ( 10 )}{ln ( 2 )}

Verify Solutions:

x = \frac{2 ln ( 10 )}{ln ( 2 )}

True

The solution is

x = \frac{2 ln ( 10 )}{ln ( 2 )}

2^{x + 2} - 3 \times 2^{x - 1} = 20

4^{3 x - 2} = 1 6^{2 x - 4}

4 = 7^{x}

20 e^{10 x} = 5

2^{x + 1} = 1 6^{x + 7}

What is the answer to (100)/(2^x)=1 ?
The answer to (100)/(2^x)=1 is x=(2ln(10))/(ln(2))
Solve for x: (100)/(2^x)=1
The solution is x=(2ln(10))/(ln(2))