What is the answer to 5^{2x-3}=17 ?

The answer to 5^{2x-3}=17 is x=(ln(2125))/(2ln(5))

Solve for x: 5^{2x-3}=17

The solution is x=(ln(2125))/(2ln(5))

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5^{2 x - 3} = 17

x = \frac{ln ( 2125 )}{2 ln ( 5 )}

Decimal Notation

x = 2.38018 \dots

Solution steps

5^{2 x - 3} = 17

Apply exponent rules

(2 x - 3) ln (5) = ln (17)

Solve

(2 x - 3) ln (5) = ln (17) : x = \frac{ln ( 2125 )}{2 ln ( 5 )}

x = \frac{ln ( 2125 )}{2 ln ( 5 )}

e^{2 x} - 3 = k

8 = (\frac{1}{4})^{x}

3^{x + 2} \cdot 8^{x - 1} = 30

1 0^{2 x} - 5 (1 0^{x}) + 6 = 0

200 = 2^{x}

What is the answer to 5^{2x-3}=17 ?
The answer to 5^{2x-3}=17 is x=(ln(2125))/(2ln(5))
Solve for x: 5^{2x-3}=17
The solution is x=(ln(2125))/(2ln(5))