What is the answer to 2^x-3=8 ?

The answer to 2^x-3=8 is x=(ln(11))/(ln(2))

The solution is x=(ln(11))/(ln(2))

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2^x-3=8

2^{x} - 3 = 8

x = \frac{ln ( 11 )}{ln ( 2 )}

Decimal Notation

x = 3.45943 \dots

Solution steps

2^{x} - 3 = 8

Move

3

to the right side

2^{x} = 11

Apply exponent rules

x ln (2) = ln (11)

Solve

x ln (2) = ln (11) : x = \frac{ln ( 11 )}{ln ( 2 )}

x = \frac{ln ( 11 )}{ln ( 2 )}

e^{x} = 3

2^{2 x + 3} + 2^{x + 3} = 1 + 2^{x}

2^{x - 2} + 2^{3 - x} = 3

(3^{8}) 4 = 3^{x}

2 = 1.0 5^{x}