What is the answer to 5^{2x-1}=90 ?

The answer to 5^{2x-1}=90 is x=(ln(450))/(2ln(5))

Solve for x: 5^{2x-1}=90

The solution is x=(ln(450))/(2ln(5))

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5^{2 x - 1} = 90

x = \frac{ln ( 450 )}{2 ln ( 5 )}

Decimal Notation

x = 1.89794 \dots

Solution steps

5^{2 x - 1} = 90

Apply exponent rules

(2 x - 1) ln (5) = ln (90)

Solve

(2 x - 1) ln (5) = ln (90) : x = \frac{ln ( 450 )}{2 ln ( 5 )}

x = \frac{ln ( 450 )}{2 ln ( 5 )}

e^{a x} = 6 e^{x}

5^{2 x} + 4 (5^{x}) - 12 = 0

e^{x} = \frac{1}{5}

e^{2 l n (x)} = 400

3^{2 t + 1} = 5^{3 t - 1}

What is the answer to 5^{2x-1}=90 ?
The answer to 5^{2x-1}=90 is x=(ln(450))/(2ln(5))
Solve for x: 5^{2x-1}=90
The solution is x=(ln(450))/(2ln(5))