What is the answer to 4-(6^{5-3x})=-5 ?

The answer to 4-(6^{5-3x})=-5 is x=(ln(864))/(3ln(6))

Solve for x: 4-(6^{5-3x})=-5

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

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4 - (6^{5 - 3 x}) = - 5

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

Decimal Notation

x = 1.25790 \dots

Solution steps

4 - (6^{5 - 3 x}) = - 5

Move

4

to the right side

- 6^{5 - 3 x} = - 9

Divide both sides by

- 1

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 )}

e^{2 x} + e^{x} = 12

1 6^{x} = 8

2^{3 x - 1} = 5^{x - 2}

7^{3 - x} = 5^{x + 1}

4^{x + 5} - 4^{x + 4} = 384

What is the answer to 4-(6^{5-3x})=-5 ?
The answer to 4-(6^{5-3x})=-5 is x=(ln(864))/(3ln(6))
Solve for x: 4-(6^{5-3x})=-5
The solution is x=(ln(864))/(3ln(6))