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

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

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

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

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4 = 3^{x - 3}

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

Decimal Notation

x = 4.26185 \dots

Solution steps

4 = 3^{x - 3}

Apply exponent rules

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

Solve

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

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

x, 1 - e^{- x^{4}} = r

8^{x} = 51 2^{x + 2}

y, x = 2 y + 4^{y}

2^{x + 1} = 3^{x - 5}

2. 2^{x} = 8

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