What is the answer to 3^{2x-3}=21 ?

The answer to 3^{2x-3}=21 is x=(ln(567))/(2ln(3))

Solve for x: 3^{2x-3}=21

The solution is x=(ln(567))/(2ln(3))

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3^{2 x - 3} = 21

x = \frac{ln ( 567 )}{2 ln ( 3 )}

Decimal Notation

x = 2.88562 \dots

Solution steps

3^{2 x - 3} = 21

Apply exponent rules

(2 x - 3) ln (3) = ln (21)

Solve

(2 x - 3) ln (3) = ln (21) : x = \frac{ln ( 567 )}{2 ln ( 3 )}

x = \frac{ln ( 567 )}{2 ln ( 3 )}

6^{9 x - 4} = 44

25 = 11 (1 + 0.14)^{x}

2 x e^{x} = 0

y, ln (2 x) + e^{y} = 1

3000 = 30 \cdot 50000 0^{x}

What is the answer to 3^{2x-3}=21 ?
The answer to 3^{2x-3}=21 is x=(ln(567))/(2ln(3))
Solve for x: 3^{2x-3}=21
The solution is x=(ln(567))/(2ln(3))