What is the answer to 5^{x-2}=2 ?

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

Solve for x: 5^{x-2}=2

The solution is x=(ln(2))/(ln(5))+2

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5^{x - 2} = 2

x = \frac{ln ( 2 )}{ln ( 5 )} + 2

Decimal Notation

x = 2.43067 \dots

Solution steps

5^{x - 2} = 2

Apply exponent rules

(x - 2) ln (5) = ln (2)

Solve

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

x = \frac{ln ( 2 )}{ln ( 5 )} + 2

5^{x - 2} = 9

4000 = 2^{x}

3 \cdot 2^{3 x} = 7 \cdot 3^{3 x - 2}

(3^{2 x + 1} + 9) = (3^{x + 3} + 3^{x})

3^{x} + 3^{x - 1} + 3^{x - 2} = 13

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