What is the answer to 5^{x-2}=9 ?

The answer to 5^{x-2}=9 is x=(2ln(3))/(ln(5))+2

Solve for x: 5^{x-2}=9

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

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5^{x - 2} = 9

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

Decimal Notation

x = 3.36521 \dots

Solution steps

5^{x - 2} = 9

Apply exponent rules

(x - 2) ln (5) = ln (9)

Solve

(x - 2) ln (5) = ln (9) : x = \frac{2 ln ( 3 )}{ln ( 5 )} + 2

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

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

e^{2 x} - 2 e^{x} = 1

What is the answer to 5^{x-2}=9 ?
The answer to 5^{x-2}=9 is x=(2ln(3))/(ln(5))+2
Solve for x: 5^{x-2}=9
The solution is x=(2ln(3))/(ln(5))+2