What is the answer to 4(2^{x-5})=12 ?

The answer to 4(2^{x-5})=12 is x=(ln(3))/(ln(2))+5

Solve for x: 4(2^{x-5})=12

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

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4 (2^{x - 5}) = 12

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

Decimal Notation

x = 6.58496 \dots

Solution steps

4 (2^{x - 5}) = 12

Divide both sides by

4

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 e^{x} = e^{3 x}

6^{x} = \frac{10}{3} - 6^{- x}

65 = 1 7^{x}

2^{x} = - 16

e^{6 x} - 4 e^{3 x} + 4 = 0

What is the answer to 4(2^{x-5})=12 ?
The answer to 4(2^{x-5})=12 is x=(ln(3))/(ln(2))+5
Solve for x: 4(2^{x-5})=12
The solution is x=(ln(3))/(ln(2))+5