What is the answer to 8^{x+4}=3 ?

The answer to 8^{x+4}=3 is x=(ln(3))/(3ln(2))-4

Solve for x: 8^{x+4}=3

The solution is x=(ln(3))/(3ln(2))-4

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8^{x + 4} = 3

x = \frac{ln ( 3 )}{3 ln ( 2 )} - 4

Decimal Notation

x = - 3.47167 \dots

Solution steps

8^{x + 4} = 3

Apply exponent rules

(x + 4) ln (8) = ln (3)

Solve

(x + 4) ln (8) = ln (3) : x = \frac{ln ( 3 )}{3 ln ( 2 )} - 4

x = \frac{ln ( 3 )}{3 ln ( 2 )} - 4

2 5^{2 x + 3} = 2 5^{5 x - 9}

e^{- x} = \frac{1}{3}

(x + 1) e^{x} + e^{x} = 0

672259 = - e^{- 7 \cdot X}

(x^{2} + 2 x) e^{- x} = 0

What is the answer to 8^{x+4}=3 ?
The answer to 8^{x+4}=3 is x=(ln(3))/(3ln(2))-4
Solve for x: 8^{x+4}=3
The solution is x=(ln(3))/(3ln(2))-4