What is the answer to 5^{2x-3}=16 ?

The answer to 5^{2x-3}=16 is x=(ln(2000))/(2ln(5))

Solve for x: 5^{2x-3}=16

The solution is x=(ln(2000))/(2ln(5))

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5^{2 x - 3} = 16

x = \frac{ln ( 2000 )}{2 ln ( 5 )}

Decimal Notation

x = 2.36135 \dots

Solution steps

5^{2 x - 3} = 16

Apply exponent rules

(2 x - 3) ln (5) = ln (16)

Solve

(2 x - 3) ln (5) = ln (16) : x = \frac{ln ( 2000 )}{2 ln ( 5 )}

x = \frac{ln ( 2000 )}{2 ln ( 5 )}

5^{2 x - 3} = 17

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

What is the answer to 5^{2x-3}=16 ?
The answer to 5^{2x-3}=16 is x=(ln(2000))/(2ln(5))
Solve for x: 5^{2x-3}=16
The solution is x=(ln(2000))/(2ln(5))