What is the answer to 4^{x-2}=13 ?

The answer to 4^{x-2}=13 is x=(ln(13))/(2ln(2))+2

Solve for x: 4^{x-2}=13

The solution is x=(ln(13))/(2ln(2))+2

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4^{x - 2} = 13

x = \frac{ln ( 13 )}{2 ln ( 2 )} + 2

Decimal Notation

x = 3.85021 \dots

Solution steps

4^{x - 2} = 13

Apply exponent rules

(x - 2) ln (4) = ln (13)

Solve

(x - 2) ln (4) = ln (13) : x = \frac{ln ( 13 )}{2 ln ( 2 )} + 2

x = \frac{ln ( 13 )}{2 ln ( 2 )} + 2

4 = e^{2 x}

9^{5 x + 5} = 8^{9 x - 5}

e^{1 - x} = e^{1} e^{- x}

1 0^{2 - 2 x} = 2 \cdot 1 0^{- x}

2^{x} + 3 \cdot 2^{x} = 64

What is the answer to 4^{x-2}=13 ?
The answer to 4^{x-2}=13 is x=(ln(13))/(2ln(2))+2
Solve for x: 4^{x-2}=13
The solution is x=(ln(13))/(2ln(2))+2