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

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

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

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

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2^{x + 5} = 3

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

Decimal Notation

x = - 3.41503 \dots

Solution steps

2^{x + 5} = 3

Apply exponent rules

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

Solve

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

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

2^{x + 5} = 8

2^{x^{2} + 5 x} = \frac{1}{64}

186 = 69 + (208 - 69) e^{- 3 k}

8^{10 x - 6} = 9^{7 x - 2}

25 = 75 (0.5)^{\frac{x}{9}}

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