What is the answer to 3=2^{x-5} ?

The answer to 3=2^{x-5} is x=(ln(3))/(ln(2))+5

Solve for x: 3=2^{x-5}

The solution is x=(ln(3))/(ln(2))+5

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3 = 2^{x - 5}

x = \frac{ln ( 3 )}{ln ( 2 )} + 5

Decimal Notation

x = 6.58496 \dots

Solution steps

3 = 2^{x - 5}

Apply exponent rules

ln (3) = (x - 5) ln (2)

Solve

ln (3) = (x - 5) ln (2) : x = \frac{ln ( 3 )}{ln ( 2 )} + 5

x = \frac{ln ( 3 )}{ln ( 2 )} + 5

2 (3^{2 x}) - 5 (3^{x}) + 2 = 0

5 (6^{x}) = 13

e^{2 x} + 1 = 0

6 e^{- 4 x} = 2

873 \cdot 2^{x} = 97

What is the answer to 3=2^{x-5} ?
The answer to 3=2^{x-5} is x=(ln(3))/(ln(2))+5
Solve for x: 3=2^{x-5}
The solution is x=(ln(3))/(ln(2))+5