What is the answer to 5^{2x-3}=4 ?

The answer to 5^{2x-3}=4 is x=(ln(500))/(2ln(5))

Solve for x: 5^{2x-3}=4

The solution is x=(ln(500))/(2ln(5))

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5^{2 x - 3} = 4

x = \frac{ln ( 500 )}{2 ln ( 5 )}

Decimal Notation

x = 1.93067 \dots

Solution steps

5^{2 x - 3} = 4

Apply exponent rules

(2 x - 3) ln (5) = ln (4)

Solve

(2 x - 3) ln (5) = ln (4) : x = \frac{ln ( 500 )}{2 ln ( 5 )}

x = \frac{ln ( 500 )}{2 ln ( 5 )}

e^{2 x} = e^{8} - 5

e^{2 x} - 10 e^{x} + 24 = 0

3 = 1 0^{x}

4^{x} - 2^{x} - 2 = 0

3^{x - 1} = 4

What is the answer to 5^{2x-3}=4 ?
The answer to 5^{2x-3}=4 is x=(ln(500))/(2ln(5))
Solve for x: 5^{2x-3}=4
The solution is x=(ln(500))/(2ln(5))