What is the answer to 2^y=1.59 ?

The answer to 2^y=1.59 is y=(ln(1.59))/(ln(2))

Solve for y: 2^y=1.59

The solution is y=(ln(1.59))/(ln(2))

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2^{y} = 1.59

y = \frac{ln ( 1.59 )}{ln ( 2 )}

Decimal Notation

y = 0.66902 \dots

Solution steps

2^{y} = 1.59

Apply exponent rules

y ln (2) = ln (1.59)

Solve

y ln (2) = ln (1.59) : y = \frac{ln ( 1.59 )}{ln ( 2 )}

y = \frac{ln ( 1.59 )}{ln ( 2 )}

4^{3 x - 1} = 3 (5^{x})

3 = 2^{x}

256 = 2^{x}

(\frac{1}{3})^{13 - 3 x} = 9

2^{x} - 2^{\frac{x}{2} + 1} = 8