What is the answer to 100*2^{4x}=15 ?

The answer to 100*2^{4x}=15 is x=(ln(3/20))/(4ln(2))

Solve for x: 100*2^{4x}=15

The solution is x=(ln(3/20))/(4ln(2))

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100 \cdot 2^{4 x} = 15

x = \frac{ln ( \frac{3}{20} )}{4 ln ( 2 )}

Decimal Notation

x = - 0.68424 \dots

Solution steps

100 \cdot 2^{4 x} = 15

Divide both sides by

100

2^{4 x} = \frac{3}{20}

Apply exponent rules

4 x ln (2) = ln (\frac{3}{20})

Solve

4 x ln (2) = ln (\frac{3}{20}) : x = \frac{ln ( \frac{3}{20} )}{4 ln ( 2 )}

x = \frac{ln ( \frac{3}{20} )}{4 ln ( 2 )}

x, e^{x y} = 0

3 e^{4 x + 1} = 2

9^{3 x + 2} = \frac{1}{3 ^{2 x - 5}}

2^{- 2 x} + 2^{- x} = 2

5^{2 - x} = \frac{1}{25}

What is the answer to 100*2^{4x}=15 ?
The answer to 100*2^{4x}=15 is x=(ln(3/20))/(4ln(2))
Solve for x: 100*2^{4x}=15
The solution is x=(ln(3/20))/(4ln(2))