What is the answer to 6^{5-3x}=9 ?

The answer to 6^{5-3x}=9 is x=(ln(864))/(3ln(6))

Solve for x: 6^{5-3x}=9

The solution is x=(ln(864))/(3ln(6))

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6^{5 - 3 x} = 9

x = \frac{ln ( 864 )}{3 ln ( 6 )}

Decimal Notation

x = 1.25790 \dots

Solution steps

6^{5 - 3 x} = 9

Apply exponent rules

(5 - 3 x) ln (6) = ln (9)

Solve

(5 - 3 x) ln (6) = ln (9) : x = \frac{ln ( 864 )}{3 ln ( 6 )}

x = \frac{ln ( 864 )}{3 ln ( 6 )}

5^{3 x - 4} = 45

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

8^{2 x} - 10 (8^{x}) + 16 = 0

1 6^{x} = \frac{1}{8}

2^{x} \cdot 3^{x} = 216

What is the answer to 6^{5-3x}=9 ?
The answer to 6^{5-3x}=9 is x=(ln(864))/(3ln(6))
Solve for x: 6^{5-3x}=9
The solution is x=(ln(864))/(3ln(6))