What is the answer to 3^{5x-4}=20 ?

The answer to 3^{5x-4}=20 is x=(ln(1620))/(5ln(3))

Solve for x: 3^{5x-4}=20

The solution is x=(ln(1620))/(5ln(3))

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3^{5 x - 4} = 20

x = \frac{ln ( 1620 )}{5 ln ( 3 )}

Decimal Notation

x = 1.34536 \dots

Solution steps

3^{5 x - 4} = 20

Apply exponent rules

(5 x - 4) ln (3) = ln (20)

Solve

(5 x - 4) ln (3) = ln (20) : x = \frac{ln ( 1620 )}{5 ln ( 3 )}

x = \frac{ln ( 1620 )}{5 ln ( 3 )}

3^{2 x} - 28 \cdot 3^{x} + 27 = 0

3 = 2^{5 x}

7^{2 x} = 49

2^{2 x + 1} + 2^{x} - 3 = 0

What is the answer to 3^{5x-4}=20 ?
The answer to 3^{5x-4}=20 is x=(ln(1620))/(5ln(3))
Solve for x: 3^{5x-4}=20
The solution is x=(ln(1620))/(5ln(3))