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

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

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

The solution is x=(ln(5))/(ln(3))+4

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3^{x - 4} = 5

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

Decimal Notation

x = 5.46497 \dots

Solution steps

3^{x - 4} = 5

Apply exponent rules

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

Solve

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

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

x, z = x e^{- x y}

x = 0.9894 + 7^{x - 1}

2^{x + 2} - (6) (2)^{x - 1} - 8 = 0

(2 x + 4)^{5 - x} = (2 x + 4)^{3 - 2 x}

e^{x} = 0.4

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