What is the answer to -2*5^{2x-1}+3=-21 ?

The answer to -2*5^{2x-1}+3=-21 is x=(ln(60))/(2ln(5))

Solve for x: -2*5^{2x-1}+3=-21

The solution is x=(ln(60))/(2ln(5))

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- 2 \cdot 5^{2 x - 1} + 3 = - 21

x = \frac{ln ( 60 )}{2 ln ( 5 )}

Decimal Notation

x = 1.27197 \dots

Solution steps

- 2 \cdot 5^{2 x - 1} + 3 = - 21

Move

3

to the right side

- 2 \cdot 5^{2 x - 1} = - 24

Divide both sides by

- 2

5^{2 x - 1} = 12

Apply exponent rules

(2 x - 1) ln (5) = ln (12)

Solve

(2 x - 1) ln (5) = ln (12) : x = \frac{ln ( 60 )}{2 ln ( 5 )}

x = \frac{ln ( 60 )}{2 ln ( 5 )}

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

(\frac{3}{2})^{x} = 4^{(1 - x)}

7^{x} = \frac{1}{49}

e^{(- x + 1)} = 15

8^{6 x^{2} + 4 x} = 4^{9 x^{2} - 9 x + 6}

What is the answer to -2*5^{2x-1}+3=-21 ?
The answer to -2*5^{2x-1}+3=-21 is x=(ln(60))/(2ln(5))
Solve for x: -2*5^{2x-1}+3=-21
The solution is x=(ln(60))/(2ln(5))