What is the answer to 3^{x+5}=4 ?

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

Solve for x: 3^{x+5}=4

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

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3^{x + 5} = 4

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

Decimal Notation

x = - 3.73814 \dots

Solution steps

3^{x + 5} = 4

Apply exponent rules

(x + 5) ln (3) = ln (4)

Solve

(x + 5) ln (3) = ln (4) : x = \frac{2 ln ( 2 )}{ln ( 3 )} - 5

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

3^{x + 2} - 3^{x} = 216

7^{- 3 - x} = 242

5^{2 x + 1} - 3 \times 5^{2 x - 1} = 550

62 5^{3 x} = 12 5^{x + 1}

3 x e^{x} - 8 e^{x} = 0

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